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Finding the Third Proportional to 706,296.50 and 1,532,998

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Solution

The third proportional to 706,296.50 and 1,532,998 is: 3,327,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,296.50 : 1,532,998 = 1,532,998 : x
  2. Step 2: Convert to fraction form
    706,296.50/1,532,998 = 1,532,998/x
  3. Step 3: Cross multiply
    706,296.50x = 1,532,998 × 1,532,998
  4. Step 4: Simplify right side
    706,296.50x = 2,350,082,868,004
  5. Step 5: Solve for x
    x = 2,350,082,868,004/706,296.50
  6. Step 6: Final answer
    x = 3,327,331.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.