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Finding the Third Proportional to 265,624 and 411,288

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Solution

The third proportional to 265,624 and 411,288 is: 636,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,624 : 411,288 = 411,288 : x
  2. Step 2: Convert to fraction form
    265,624/411,288 = 411,288/x
  3. Step 3: Cross multiply
    265,624x = 411,288 × 411,288
  4. Step 4: Simplify right side
    265,624x = 169,157,818,944
  5. Step 5: Solve for x
    x = 169,157,818,944/265,624
  6. Step 6: Final answer
    x = 636,831.83

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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.