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Finding the Third Proportional to 397,353 and 868,984.50

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Solution

The third proportional to 397,353 and 868,984.50 is: 1,900,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,353 : 868,984.50 = 868,984.50 : x
  2. Step 2: Convert to fraction form
    397,353/868,984.50 = 868,984.50/x
  3. Step 3: Cross multiply
    397,353x = 868,984.50 × 868,984.50
  4. Step 4: Simplify right side
    397,353x = 755,134,061,240.25
  5. Step 5: Solve for x
    x = 755,134,061,240.25/397,353
  6. Step 6: Final answer
    x = 1,900,411.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.