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Finding the Third Proportional to 461,726 and 737,629

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Solution

The third proportional to 461,726 and 737,629 is: 1,178,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,726 : 737,629 = 737,629 : x
  2. Step 2: Convert to fraction form
    461,726/737,629 = 737,629/x
  3. Step 3: Cross multiply
    461,726x = 737,629 × 737,629
  4. Step 4: Simplify right side
    461,726x = 544,096,541,641
  5. Step 5: Solve for x
    x = 544,096,541,641/461,726
  6. Step 6: Final answer
    x = 1,178,397.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.