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Finding the Third Proportional to 298,432 and 462,776

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Solution

The third proportional to 298,432 and 462,776 is: 717,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,432 : 462,776 = 462,776 : x
  2. Step 2: Convert to fraction form
    298,432/462,776 = 462,776/x
  3. Step 3: Cross multiply
    298,432x = 462,776 × 462,776
  4. Step 4: Simplify right side
    298,432x = 214,161,626,176
  5. Step 5: Solve for x
    x = 214,161,626,176/298,432
  6. Step 6: Final answer
    x = 717,622.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.