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Finding the Third Proportional to 344,632 and 514,882

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Solution

The third proportional to 344,632 and 514,882 is: 769,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,632 : 514,882 = 514,882 : x
  2. Step 2: Convert to fraction form
    344,632/514,882 = 514,882/x
  3. Step 3: Cross multiply
    344,632x = 514,882 × 514,882
  4. Step 4: Simplify right side
    344,632x = 265,103,473,924
  5. Step 5: Solve for x
    x = 265,103,473,924/344,632
  6. Step 6: Final answer
    x = 769,236.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.