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Finding the Third Proportional to 470.75 and 916.75

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Solution

The third proportional to 470.75 and 916.75 is: 1,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.75 : 916.75 = 916.75 : x
  2. Step 2: Convert to fraction form
    470.75/916.75 = 916.75/x
  3. Step 3: Cross multiply
    470.75x = 916.75 × 916.75
  4. Step 4: Simplify right side
    470.75x = 840,430.56
  5. Step 5: Solve for x
    x = 840,430.56/470.75
  6. Step 6: Final answer
    x = 1,785.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.