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Finding the Third Proportional to 516,932 and 794,361

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Solution

The third proportional to 516,932 and 794,361 is: 1,220,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,932 : 794,361 = 794,361 : x
  2. Step 2: Convert to fraction form
    516,932/794,361 = 794,361/x
  3. Step 3: Cross multiply
    516,932x = 794,361 × 794,361
  4. Step 4: Simplify right side
    516,932x = 631,009,398,321
  5. Step 5: Solve for x
    x = 631,009,398,321/516,932
  6. Step 6: Final answer
    x = 1,220,681.63

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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.