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Finding the Third Proportional to 461.32 and 674.89

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Solution

The third proportional to 461.32 and 674.89 is: 987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 674.89 = 674.89 : x
  2. Step 2: Convert to fraction form
    461.32/674.89 = 674.89/x
  3. Step 3: Cross multiply
    461.32x = 674.89 × 674.89
  4. Step 4: Simplify right side
    461.32x = 455,482.63
  5. Step 5: Solve for x
    x = 455,482.63/461.32
  6. Step 6: Final answer
    x = 987.35

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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.