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Finding the Third Proportional to 369,550 and 514,874

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Solution

The third proportional to 369,550 and 514,874 is: 717,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,550 : 514,874 = 514,874 : x
  2. Step 2: Convert to fraction form
    369,550/514,874 = 514,874/x
  3. Step 3: Cross multiply
    369,550x = 514,874 × 514,874
  4. Step 4: Simplify right side
    369,550x = 265,095,235,876
  5. Step 5: Solve for x
    x = 265,095,235,876/369,550
  6. Step 6: Final answer
    x = 717,346.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.