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Finding the Third Proportional to 263,282.91 and 376,498.13

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Solution

The third proportional to 263,282.91 and 376,498.13 is: 538,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,282.91 : 376,498.13 = 376,498.13 : x
  2. Step 2: Convert to fraction form
    263,282.91/376,498.13 = 376,498.13/x
  3. Step 3: Cross multiply
    263,282.91x = 376,498.13 × 376,498.13
  4. Step 4: Simplify right side
    263,282.91x = 141,750,838,128.52
  5. Step 5: Solve for x
    x = 141,750,838,128.52/263,282.91
  6. Step 6: Final answer
    x = 538,397.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.