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Finding the Third Proportional to 264,864.94 and 572,167.13

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Solution

The third proportional to 264,864.94 and 572,167.13 is: 1,236,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,864.94 : 572,167.13 = 572,167.13 : x
  2. Step 2: Convert to fraction form
    264,864.94/572,167.13 = 572,167.13/x
  3. Step 3: Cross multiply
    264,864.94x = 572,167.13 × 572,167.13
  4. Step 4: Simplify right side
    264,864.94x = 327,375,218,930.77
  5. Step 5: Solve for x
    x = 327,375,218,930.77/264,864.94
  6. Step 6: Final answer
    x = 1,236,008.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.