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Finding the Third Proportional to 267,960 and 426,541

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Solution

The third proportional to 267,960 and 426,541 is: 678,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,960 : 426,541 = 426,541 : x
  2. Step 2: Convert to fraction form
    267,960/426,541 = 426,541/x
  3. Step 3: Cross multiply
    267,960x = 426,541 × 426,541
  4. Step 4: Simplify right side
    267,960x = 181,937,224,681
  5. Step 5: Solve for x
    x = 181,937,224,681/267,960
  6. Step 6: Final answer
    x = 678,971.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.