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Finding the Third Proportional to 416,217 and 897,223.50

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Solution

The third proportional to 416,217 and 897,223.50 is: 1,934,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,217 : 897,223.50 = 897,223.50 : x
  2. Step 2: Convert to fraction form
    416,217/897,223.50 = 897,223.50/x
  3. Step 3: Cross multiply
    416,217x = 897,223.50 × 897,223.50
  4. Step 4: Simplify right side
    416,217x = 805,010,008,952.25
  5. Step 5: Solve for x
    x = 805,010,008,952.25/416,217
  6. Step 6: Final answer
    x = 1,934,111.31

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