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Finding the Third Proportional to 410.86 and 601.88

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Solution

The third proportional to 410.86 and 601.88 is: 881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.86 : 601.88 = 601.88 : x
  2. Step 2: Convert to fraction form
    410.86/601.88 = 601.88/x
  3. Step 3: Cross multiply
    410.86x = 601.88 × 601.88
  4. Step 4: Simplify right side
    410.86x = 362,258.14
  5. Step 5: Solve for x
    x = 362,258.14/410.86
  6. Step 6: Final answer
    x = 881.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.