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Finding the Third Proportional to 267,954 and 563,484

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Solution

The third proportional to 267,954 and 563,484 is: 1,184,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,954 : 563,484 = 563,484 : x
  2. Step 2: Convert to fraction form
    267,954/563,484 = 563,484/x
  3. Step 3: Cross multiply
    267,954x = 563,484 × 563,484
  4. Step 4: Simplify right side
    267,954x = 317,514,218,256
  5. Step 5: Solve for x
    x = 317,514,218,256/267,954
  6. Step 6: Final answer
    x = 1,184,957.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.