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Finding the Third Proportional to 822.47 and 1,302.19

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Solution

The third proportional to 822.47 and 1,302.19 is: 2,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.47 : 1,302.19 = 1,302.19 : x
  2. Step 2: Convert to fraction form
    822.47/1,302.19 = 1,302.19/x
  3. Step 3: Cross multiply
    822.47x = 1,302.19 × 1,302.19
  4. Step 4: Simplify right side
    822.47x = 1,695,692.29
  5. Step 5: Solve for x
    x = 1,695,692.29/822.47
  6. Step 6: Final answer
    x = 2,061.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.