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Finding the Third Proportional to 343,584 and 517,872

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Solution

The third proportional to 343,584 and 517,872 is: 780,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,584 : 517,872 = 517,872 : x
  2. Step 2: Convert to fraction form
    343,584/517,872 = 517,872/x
  3. Step 3: Cross multiply
    343,584x = 517,872 × 517,872
  4. Step 4: Simplify right side
    343,584x = 268,191,408,384
  5. Step 5: Solve for x
    x = 268,191,408,384/343,584
  6. Step 6: Final answer
    x = 780,570.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.