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Finding the Third Proportional to 240,760 and 521,696

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Solution

The third proportional to 240,760 and 521,696 is: 1,130,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,760 : 521,696 = 521,696 : x
  2. Step 2: Convert to fraction form
    240,760/521,696 = 521,696/x
  3. Step 3: Cross multiply
    240,760x = 521,696 × 521,696
  4. Step 4: Simplify right side
    240,760x = 272,166,716,416
  5. Step 5: Solve for x
    x = 272,166,716,416/240,760
  6. Step 6: Final answer
    x = 1,130,448.23

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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.