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Finding the Third Proportional to 261,963 and 572,964.75

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Solution

The third proportional to 261,963 and 572,964.75 is: 1,253,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,963 : 572,964.75 = 572,964.75 : x
  2. Step 2: Convert to fraction form
    261,963/572,964.75 = 572,964.75/x
  3. Step 3: Cross multiply
    261,963x = 572,964.75 × 572,964.75
  4. Step 4: Simplify right side
    261,963x = 328,288,604,742.56
  5. Step 5: Solve for x
    x = 328,288,604,742.56/261,963
  6. Step 6: Final answer
    x = 1,253,186.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.