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Finding the Third Proportional to 551,764 and 748,914

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Solution

The third proportional to 551,764 and 748,914 is: 1,016,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,764 : 748,914 = 748,914 : x
  2. Step 2: Convert to fraction form
    551,764/748,914 = 748,914/x
  3. Step 3: Cross multiply
    551,764x = 748,914 × 748,914
  4. Step 4: Simplify right side
    551,764x = 560,872,179,396
  5. Step 5: Solve for x
    x = 560,872,179,396/551,764
  6. Step 6: Final answer
    x = 1,016,507.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.