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Finding the Third Proportional to 411,023 and 614,863

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Solution

The third proportional to 411,023 and 614,863 is: 919,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,023 : 614,863 = 614,863 : x
  2. Step 2: Convert to fraction form
    411,023/614,863 = 614,863/x
  3. Step 3: Cross multiply
    411,023x = 614,863 × 614,863
  4. Step 4: Simplify right side
    411,023x = 378,056,508,769
  5. Step 5: Solve for x
    x = 378,056,508,769/411,023
  6. Step 6: Final answer
    x = 919,794.05

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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.