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Finding the Third Proportional to 344,482 and 506,517

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Solution

The third proportional to 344,482 and 506,517 is: 744,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,482 : 506,517 = 506,517 : x
  2. Step 2: Convert to fraction form
    344,482/506,517 = 506,517/x
  3. Step 3: Cross multiply
    344,482x = 506,517 × 506,517
  4. Step 4: Simplify right side
    344,482x = 256,559,471,289
  5. Step 5: Solve for x
    x = 256,559,471,289/344,482
  6. Step 6: Final answer
    x = 744,768.87

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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.