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Finding the Third Proportional to 215,148 and 472,758

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Solution

The third proportional to 215,148 and 472,758 is: 1,038,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,148 : 472,758 = 472,758 : x
  2. Step 2: Convert to fraction form
    215,148/472,758 = 472,758/x
  3. Step 3: Cross multiply
    215,148x = 472,758 × 472,758
  4. Step 4: Simplify right side
    215,148x = 223,500,126,564
  5. Step 5: Solve for x
    x = 223,500,126,564/215,148
  6. Step 6: Final answer
    x = 1,038,820.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.