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Finding the Third Proportional to 491,892.75 and 748,045.13

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Solution

The third proportional to 491,892.75 and 748,045.13 is: 1,137,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,892.75 : 748,045.13 = 748,045.13 : x
  2. Step 2: Convert to fraction form
    491,892.75/748,045.13 = 748,045.13/x
  3. Step 3: Cross multiply
    491,892.75x = 748,045.13 × 748,045.13
  4. Step 4: Simplify right side
    491,892.75x = 559,571,509,036.27
  5. Step 5: Solve for x
    x = 559,571,509,036.27/491,892.75
  6. Step 6: Final answer
    x = 1,137,588.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.