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Finding the Third Proportional to 492.61 and 701.93

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Solution

The third proportional to 492.61 and 701.93 is: 1,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.61 : 701.93 = 701.93 : x
  2. Step 2: Convert to fraction form
    492.61/701.93 = 701.93/x
  3. Step 3: Cross multiply
    492.61x = 701.93 × 701.93
  4. Step 4: Simplify right side
    492.61x = 492,705.29
  5. Step 5: Solve for x
    x = 492,705.29/492.61
  6. Step 6: Final answer
    x = 1,000.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.