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Finding the Third Proportional to 909.84 and 1,407.94

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Solution

The third proportional to 909.84 and 1,407.94 is: 2,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.84 : 1,407.94 = 1,407.94 : x
  2. Step 2: Convert to fraction form
    909.84/1,407.94 = 1,407.94/x
  3. Step 3: Cross multiply
    909.84x = 1,407.94 × 1,407.94
  4. Step 4: Simplify right side
    909.84x = 1,982,288.00
  5. Step 5: Solve for x
    x = 1,982,288.00/909.84
  6. Step 6: Final answer
    x = 2,178.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.