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Finding the Third Proportional to 916.75 and 1,421.75

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Solution

The third proportional to 916.75 and 1,421.75 is: 2,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.75 : 1,421.75 = 1,421.75 : x
  2. Step 2: Convert to fraction form
    916.75/1,421.75 = 1,421.75/x
  3. Step 3: Cross multiply
    916.75x = 1,421.75 × 1,421.75
  4. Step 4: Simplify right side
    916.75x = 2,021,373.06
  5. Step 5: Solve for x
    x = 2,021,373.06/916.75
  6. Step 6: Final answer
    x = 2,204.93

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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.