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Finding the Third Proportional to 328,786 and 707,508

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Solution

The third proportional to 328,786 and 707,508 is: 1,522,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,786 : 707,508 = 707,508 : x
  2. Step 2: Convert to fraction form
    328,786/707,508 = 707,508/x
  3. Step 3: Cross multiply
    328,786x = 707,508 × 707,508
  4. Step 4: Simplify right side
    328,786x = 500,567,570,064
  5. Step 5: Solve for x
    x = 500,567,570,064/328,786
  6. Step 6: Final answer
    x = 1,522,472.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.