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Finding the Third Proportional to 416,220 and 897,229.50

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Solution

The third proportional to 416,220 and 897,229.50 is: 1,934,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,220 : 897,229.50 = 897,229.50 : x
  2. Step 2: Convert to fraction form
    416,220/897,229.50 = 897,229.50/x
  3. Step 3: Cross multiply
    416,220x = 897,229.50 × 897,229.50
  4. Step 4: Simplify right side
    416,220x = 805,020,775,670.25
  5. Step 5: Solve for x
    x = 805,020,775,670.25/416,220
  6. Step 6: Final answer
    x = 1,934,123.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.