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Finding the Third Proportional to 410,532 and 614,160

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Solution

The third proportional to 410,532 and 614,160 is: 918,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,532 : 614,160 = 614,160 : x
  2. Step 2: Convert to fraction form
    410,532/614,160 = 614,160/x
  3. Step 3: Cross multiply
    410,532x = 614,160 × 614,160
  4. Step 4: Simplify right side
    410,532x = 377,192,505,600
  5. Step 5: Solve for x
    x = 377,192,505,600/410,532
  6. Step 6: Final answer
    x = 918,789.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.