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Finding the Third Proportional to 341,264 and 503,150

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Solution

The third proportional to 341,264 and 503,150 is: 741,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,264 : 503,150 = 503,150 : x
  2. Step 2: Convert to fraction form
    341,264/503,150 = 503,150/x
  3. Step 3: Cross multiply
    341,264x = 503,150 × 503,150
  4. Step 4: Simplify right side
    341,264x = 253,159,922,500
  5. Step 5: Solve for x
    x = 253,159,922,500/341,264
  6. Step 6: Final answer
    x = 741,830.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.