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Finding the Third Proportional to 472.75 and 917.50

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Solution

The third proportional to 472.75 and 917.50 is: 1,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.75 : 917.50 = 917.50 : x
  2. Step 2: Convert to fraction form
    472.75/917.50 = 917.50/x
  3. Step 3: Cross multiply
    472.75x = 917.50 × 917.50
  4. Step 4: Simplify right side
    472.75x = 841,806.25
  5. Step 5: Solve for x
    x = 841,806.25/472.75
  6. Step 6: Final answer
    x = 1,780.66

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.