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Finding the Third Proportional to 347,866.73 and 748,322.30

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Solution

The third proportional to 347,866.73 and 748,322.30 is: 1,609,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,866.73 : 748,322.30 = 748,322.30 : x
  2. Step 2: Convert to fraction form
    347,866.73/748,322.30 = 748,322.30/x
  3. Step 3: Cross multiply
    347,866.73x = 748,322.30 × 748,322.30
  4. Step 4: Simplify right side
    347,866.73x = 559,986,260,000.28
  5. Step 5: Solve for x
    x = 559,986,260,000.28/347,866.73
  6. Step 6: Final answer
    x = 1,609,772.38

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Why These Related Problems?

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