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Finding the Third Proportional to 240,768 and 521,659

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Solution

The third proportional to 240,768 and 521,659 is: 1,130,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,768 : 521,659 = 521,659 : x
  2. Step 2: Convert to fraction form
    240,768/521,659 = 521,659/x
  3. Step 3: Cross multiply
    240,768x = 521,659 × 521,659
  4. Step 4: Simplify right side
    240,768x = 272,128,112,281
  5. Step 5: Solve for x
    x = 272,128,112,281/240,768
  6. Step 6: Final answer
    x = 1,130,250.33

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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.