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Finding the Third Proportional to 516,414 and 797,628

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Solution

The third proportional to 516,414 and 797,628 is: 1,231,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,414 : 797,628 = 797,628 : x
  2. Step 2: Convert to fraction form
    516,414/797,628 = 797,628/x
  3. Step 3: Cross multiply
    516,414x = 797,628 × 797,628
  4. Step 4: Simplify right side
    516,414x = 636,210,426,384
  5. Step 5: Solve for x
    x = 636,210,426,384/516,414
  6. Step 6: Final answer
    x = 1,231,977.50

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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.