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Finding the Third Proportional to 882.84 and 1,263.66

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Solution

The third proportional to 882.84 and 1,263.66 is: 1,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.84 : 1,263.66 = 1,263.66 : x
  2. Step 2: Convert to fraction form
    882.84/1,263.66 = 1,263.66/x
  3. Step 3: Cross multiply
    882.84x = 1,263.66 × 1,263.66
  4. Step 4: Simplify right side
    882.84x = 1,596,827.12
  5. Step 5: Solve for x
    x = 1,596,827.12/882.84
  6. Step 6: Final answer
    x = 1,808.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.