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Finding the Third Proportional to 322,024 and 707,792

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Solution

The third proportional to 322,024 and 707,792 is: 1,555,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,024 : 707,792 = 707,792 : x
  2. Step 2: Convert to fraction form
    322,024/707,792 = 707,792/x
  3. Step 3: Cross multiply
    322,024x = 707,792 × 707,792
  4. Step 4: Simplify right side
    322,024x = 500,969,515,264
  5. Step 5: Solve for x
    x = 500,969,515,264/322,024
  6. Step 6: Final answer
    x = 1,555,690.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.