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Finding the Third Proportional to 262,862.72 and 574,373.53

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Solution

The third proportional to 262,862.72 and 574,373.53 is: 1,255,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,862.72 : 574,373.53 = 574,373.53 : x
  2. Step 2: Convert to fraction form
    262,862.72/574,373.53 = 574,373.53/x
  3. Step 3: Cross multiply
    262,862.72x = 574,373.53 × 574,373.53
  4. Step 4: Simplify right side
    262,862.72x = 329,904,953,400.60
  5. Step 5: Solve for x
    x = 329,904,953,400.60/262,862.72
  6. Step 6: Final answer
    x = 1,255,046.57

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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.