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Finding the Third Proportional to 240,748 and 512,599

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Solution

The third proportional to 240,748 and 512,599 is: 1,091,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,748 : 512,599 = 512,599 : x
  2. Step 2: Convert to fraction form
    240,748/512,599 = 512,599/x
  3. Step 3: Cross multiply
    240,748x = 512,599 × 512,599
  4. Step 4: Simplify right side
    240,748x = 262,757,734,801
  5. Step 5: Solve for x
    x = 262,757,734,801/240,748
  6. Step 6: Final answer
    x = 1,091,422.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.