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Finding the Third Proportional to 334,966 and 502,510

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Solution

The third proportional to 334,966 and 502,510 is: 753,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,966 : 502,510 = 502,510 : x
  2. Step 2: Convert to fraction form
    334,966/502,510 = 502,510/x
  3. Step 3: Cross multiply
    334,966x = 502,510 × 502,510
  4. Step 4: Simplify right side
    334,966x = 252,516,300,100
  5. Step 5: Solve for x
    x = 252,516,300,100/334,966
  6. Step 6: Final answer
    x = 753,856.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.