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Finding the Third Proportional to 267,550 and 392,455

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Solution

The third proportional to 267,550 and 392,455 is: 575,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,550 : 392,455 = 392,455 : x
  2. Step 2: Convert to fraction form
    267,550/392,455 = 392,455/x
  3. Step 3: Cross multiply
    267,550x = 392,455 × 392,455
  4. Step 4: Simplify right side
    267,550x = 154,020,927,025
  5. Step 5: Solve for x
    x = 154,020,927,025/267,550
  6. Step 6: Final answer
    x = 575,671.56

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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.