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Finding the Third Proportional to 328,891,782.75 and 731,318,580.38

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Solution

The third proportional to 328,891,782.75 and 731,318,580.38 is: 1,626,148,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,891,782.75 : 731,318,580.38 = 731,318,580.38 : x
  2. Step 2: Convert to fraction form
    328,891,782.75/731,318,580.38 = 731,318,580.38/x
  3. Step 3: Cross multiply
    328,891,782.75x = 731,318,580.38 × 731,318,580.38
  4. Step 4: Simplify right side
    328,891,782.75x = 534,826,866,001,705,344
  5. Step 5: Solve for x
    x = 534,826,866,001,705,344/328,891,782.75
  6. Step 6: Final answer
    x = 1,626,148,459.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.