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Finding the Third Proportional to 230,524 and 472,468

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Solution

The third proportional to 230,524 and 472,468 is: 968,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,524 : 472,468 = 472,468 : x
  2. Step 2: Convert to fraction form
    230,524/472,468 = 472,468/x
  3. Step 3: Cross multiply
    230,524x = 472,468 × 472,468
  4. Step 4: Simplify right side
    230,524x = 223,226,011,024
  5. Step 5: Solve for x
    x = 223,226,011,024/230,524
  6. Step 6: Final answer
    x = 968,341.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.