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Finding the Third Proportional to 240,672 and 521,520

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Solution

The third proportional to 240,672 and 521,520 is: 1,130,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,672 : 521,520 = 521,520 : x
  2. Step 2: Convert to fraction form
    240,672/521,520 = 521,520/x
  3. Step 3: Cross multiply
    240,672x = 521,520 × 521,520
  4. Step 4: Simplify right side
    240,672x = 271,983,110,400
  5. Step 5: Solve for x
    x = 271,983,110,400/240,672
  6. Step 6: Final answer
    x = 1,130,098.68

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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.