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Finding the Third Proportional to 324,776 and 708,418

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Solution

The third proportional to 324,776 and 708,418 is: 1,545,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,776 : 708,418 = 708,418 : x
  2. Step 2: Convert to fraction form
    324,776/708,418 = 708,418/x
  3. Step 3: Cross multiply
    324,776x = 708,418 × 708,418
  4. Step 4: Simplify right side
    324,776x = 501,856,062,724
  5. Step 5: Solve for x
    x = 501,856,062,724/324,776
  6. Step 6: Final answer
    x = 1,545,237.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.