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Finding the Third Proportional to 242,646.75 and 527,211

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Solution

The third proportional to 242,646.75 and 527,211 is: 1,145,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,646.75 : 527,211 = 527,211 : x
  2. Step 2: Convert to fraction form
    242,646.75/527,211 = 527,211/x
  3. Step 3: Cross multiply
    242,646.75x = 527,211 × 527,211
  4. Step 4: Simplify right side
    242,646.75x = 277,951,438,521
  5. Step 5: Solve for x
    x = 277,951,438,521/242,646.75
  6. Step 6: Final answer
    x = 1,145,498.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.