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Finding the Third Proportional to 386,680.50 and 849,531

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Solution

The third proportional to 386,680.50 and 849,531 is: 1,866,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,680.50 : 849,531 = 849,531 : x
  2. Step 2: Convert to fraction form
    386,680.50/849,531 = 849,531/x
  3. Step 3: Cross multiply
    386,680.50x = 849,531 × 849,531
  4. Step 4: Simplify right side
    386,680.50x = 721,702,919,961
  5. Step 5: Solve for x
    x = 721,702,919,961/386,680.50
  6. Step 6: Final answer
    x = 1,866,406.30

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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.