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Finding the Third Proportional to 239,436 and 523,746

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Solution

The third proportional to 239,436 and 523,746 is: 1,145,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,436 : 523,746 = 523,746 : x
  2. Step 2: Convert to fraction form
    239,436/523,746 = 523,746/x
  3. Step 3: Cross multiply
    239,436x = 523,746 × 523,746
  4. Step 4: Simplify right side
    239,436x = 274,309,872,516
  5. Step 5: Solve for x
    x = 274,309,872,516/239,436
  6. Step 6: Final answer
    x = 1,145,650.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.