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Finding the Third Proportional to 416,328 and 915,600

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Solution

The third proportional to 416,328 and 915,600 is: 2,013,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,328 : 915,600 = 915,600 : x
  2. Step 2: Convert to fraction form
    416,328/915,600 = 915,600/x
  3. Step 3: Cross multiply
    416,328x = 915,600 × 915,600
  4. Step 4: Simplify right side
    416,328x = 838,323,360,000
  5. Step 5: Solve for x
    x = 838,323,360,000/416,328
  6. Step 6: Final answer
    x = 2,013,612.73

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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.