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Finding the Third Proportional to 516,693 and 754,623

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Solution

The third proportional to 516,693 and 754,623 is: 1,102,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,693 : 754,623 = 754,623 : x
  2. Step 2: Convert to fraction form
    516,693/754,623 = 754,623/x
  3. Step 3: Cross multiply
    516,693x = 754,623 × 754,623
  4. Step 4: Simplify right side
    516,693x = 569,455,872,129
  5. Step 5: Solve for x
    x = 569,455,872,129/516,693
  6. Step 6: Final answer
    x = 1,102,116.48

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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.