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Finding the Third Proportional to 516,930 and 794,358

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Solution

The third proportional to 516,930 and 794,358 is: 1,220,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,930 : 794,358 = 794,358 : x
  2. Step 2: Convert to fraction form
    516,930/794,358 = 794,358/x
  3. Step 3: Cross multiply
    516,930x = 794,358 × 794,358
  4. Step 4: Simplify right side
    516,930x = 631,004,632,164
  5. Step 5: Solve for x
    x = 631,004,632,164/516,930
  6. Step 6: Final answer
    x = 1,220,677.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.