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Finding the Third Proportional to 885.92 and 1,303.22

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Solution

The third proportional to 885.92 and 1,303.22 is: 1,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.92 : 1,303.22 = 1,303.22 : x
  2. Step 2: Convert to fraction form
    885.92/1,303.22 = 1,303.22/x
  3. Step 3: Cross multiply
    885.92x = 1,303.22 × 1,303.22
  4. Step 4: Simplify right side
    885.92x = 1,698,377.20
  5. Step 5: Solve for x
    x = 1,698,377.20/885.92
  6. Step 6: Final answer
    x = 1,917.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.