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Finding the Third Proportional to 534.65 and 715.18

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Solution

The third proportional to 534.65 and 715.18 is: 956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.65 : 715.18 = 715.18 : x
  2. Step 2: Convert to fraction form
    534.65/715.18 = 715.18/x
  3. Step 3: Cross multiply
    534.65x = 715.18 × 715.18
  4. Step 4: Simplify right side
    534.65x = 511,478.14
  5. Step 5: Solve for x
    x = 511,478.14/534.65
  6. Step 6: Final answer
    x = 956.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.