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Finding the Third Proportional to 322.13 and 715.13

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Solution

The third proportional to 322.13 and 715.13 is: 1,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 715.13 = 715.13 : x
  2. Step 2: Convert to fraction form
    322.13/715.13 = 715.13/x
  3. Step 3: Cross multiply
    322.13x = 715.13 × 715.13
  4. Step 4: Simplify right side
    322.13x = 511,403.77
  5. Step 5: Solve for x
    x = 511,403.77/322.13
  6. Step 6: Final answer
    x = 1,587.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.