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Finding the Third Proportional to 612.47 and 950.91

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Solution

The third proportional to 612.47 and 950.91 is: 1,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.47 : 950.91 = 950.91 : x
  2. Step 2: Convert to fraction form
    612.47/950.91 = 950.91/x
  3. Step 3: Cross multiply
    612.47x = 950.91 × 950.91
  4. Step 4: Simplify right side
    612.47x = 904,222.70
  5. Step 5: Solve for x
    x = 904,222.70/612.47
  6. Step 6: Final answer
    x = 1,476.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.