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Finding the Third Proportional to 267,431.63 and 392,962.64

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Solution

The third proportional to 267,431.63 and 392,962.64 is: 577,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,431.63 : 392,962.64 = 392,962.64 : x
  2. Step 2: Convert to fraction form
    267,431.63/392,962.64 = 392,962.64/x
  3. Step 3: Cross multiply
    267,431.63x = 392,962.64 × 392,962.64
  4. Step 4: Simplify right side
    267,431.63x = 154,419,636,926.97
  5. Step 5: Solve for x
    x = 154,419,636,926.97/267,431.63
  6. Step 6: Final answer
    x = 577,417.26

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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.