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Finding the Third Proportional to 254,376 and 502,350

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Solution

The third proportional to 254,376 and 502,350 is: 992,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,376 : 502,350 = 502,350 : x
  2. Step 2: Convert to fraction form
    254,376/502,350 = 502,350/x
  3. Step 3: Cross multiply
    254,376x = 502,350 × 502,350
  4. Step 4: Simplify right side
    254,376x = 252,355,522,500
  5. Step 5: Solve for x
    x = 252,355,522,500/254,376
  6. Step 6: Final answer
    x = 992,057.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.