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Finding the Third Proportional to 240,102 and 520,902

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Solution

The third proportional to 240,102 and 520,902 is: 1,130,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,102 : 520,902 = 520,902 : x
  2. Step 2: Convert to fraction form
    240,102/520,902 = 520,902/x
  3. Step 3: Cross multiply
    240,102x = 520,902 × 520,902
  4. Step 4: Simplify right side
    240,102x = 271,338,893,604
  5. Step 5: Solve for x
    x = 271,338,893,604/240,102
  6. Step 6: Final answer
    x = 1,130,098.43

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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.