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Finding the Third Proportional to 516,450 and 797,724

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Solution

The third proportional to 516,450 and 797,724 is: 1,232,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,450 : 797,724 = 797,724 : x
  2. Step 2: Convert to fraction form
    516,450/797,724 = 797,724/x
  3. Step 3: Cross multiply
    516,450x = 797,724 × 797,724
  4. Step 4: Simplify right side
    516,450x = 636,363,580,176
  5. Step 5: Solve for x
    x = 636,363,580,176/516,450
  6. Step 6: Final answer
    x = 1,232,188.17

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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.