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Finding the Third Proportional to 324,360.50 and 516,521

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Solution

The third proportional to 324,360.50 and 516,521 is: 822,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,360.50 : 516,521 = 516,521 : x
  2. Step 2: Convert to fraction form
    324,360.50/516,521 = 516,521/x
  3. Step 3: Cross multiply
    324,360.50x = 516,521 × 516,521
  4. Step 4: Simplify right side
    324,360.50x = 266,793,943,441
  5. Step 5: Solve for x
    x = 266,793,943,441/324,360.50
  6. Step 6: Final answer
    x = 822,522.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.