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Finding the Third Proportional to 267,596 and 561,461

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Solution

The third proportional to 267,596 and 561,461 is: 1,178,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,596 : 561,461 = 561,461 : x
  2. Step 2: Convert to fraction form
    267,596/561,461 = 561,461/x
  3. Step 3: Cross multiply
    267,596x = 561,461 × 561,461
  4. Step 4: Simplify right side
    267,596x = 315,238,454,521
  5. Step 5: Solve for x
    x = 315,238,454,521/267,596
  6. Step 6: Final answer
    x = 1,178,038.74

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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.