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Finding the Third Proportional to 374.47 and 562.41

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Solution

The third proportional to 374.47 and 562.41 is: 844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.47 : 562.41 = 562.41 : x
  2. Step 2: Convert to fraction form
    374.47/562.41 = 562.41/x
  3. Step 3: Cross multiply
    374.47x = 562.41 × 562.41
  4. Step 4: Simplify right side
    374.47x = 316,307.38
  5. Step 5: Solve for x
    x = 316,307.38/374.47
  6. Step 6: Final answer
    x = 844.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.