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Finding the Third Proportional to 516,681 and 754,609

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Solution

The third proportional to 516,681 and 754,609 is: 1,102,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,681 : 754,609 = 754,609 : x
  2. Step 2: Convert to fraction form
    516,681/754,609 = 754,609/x
  3. Step 3: Cross multiply
    516,681x = 754,609 × 754,609
  4. Step 4: Simplify right side
    516,681x = 569,434,742,881
  5. Step 5: Solve for x
    x = 569,434,742,881/516,681
  6. Step 6: Final answer
    x = 1,102,101.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.