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Finding the Third Proportional to 247,952 and 508,972

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Solution

The third proportional to 247,952 and 508,972 is: 1,044,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,952 : 508,972 = 508,972 : x
  2. Step 2: Convert to fraction form
    247,952/508,972 = 508,972/x
  3. Step 3: Cross multiply
    247,952x = 508,972 × 508,972
  4. Step 4: Simplify right side
    247,952x = 259,052,496,784
  5. Step 5: Solve for x
    x = 259,052,496,784/247,952
  6. Step 6: Final answer
    x = 1,044,768.73

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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.