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Finding the Third Proportional to 643.46 and 1,010.18

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Solution

The third proportional to 643.46 and 1,010.18 is: 1,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.46 : 1,010.18 = 1,010.18 : x
  2. Step 2: Convert to fraction form
    643.46/1,010.18 = 1,010.18/x
  3. Step 3: Cross multiply
    643.46x = 1,010.18 × 1,010.18
  4. Step 4: Simplify right side
    643.46x = 1,020,463.00
  5. Step 5: Solve for x
    x = 1,020,463.00/643.46
  6. Step 6: Final answer
    x = 1,585.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.