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Finding the Third Proportional to 315.14 and 474.61

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Solution

The third proportional to 315.14 and 474.61 is: 714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 474.61 = 474.61 : x
  2. Step 2: Convert to fraction form
    315.14/474.61 = 474.61/x
  3. Step 3: Cross multiply
    315.14x = 474.61 × 474.61
  4. Step 4: Simplify right side
    315.14x = 225,254.06
  5. Step 5: Solve for x
    x = 225,254.06/315.14
  6. Step 6: Final answer
    x = 714.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.