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Finding the Third Proportional to 624,431 and 934,135

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Solution

The third proportional to 624,431 and 934,135 is: 1,397,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,431 : 934,135 = 934,135 : x
  2. Step 2: Convert to fraction form
    624,431/934,135 = 934,135/x
  3. Step 3: Cross multiply
    624,431x = 934,135 × 934,135
  4. Step 4: Simplify right side
    624,431x = 872,608,198,225
  5. Step 5: Solve for x
    x = 872,608,198,225/624,431
  6. Step 6: Final answer
    x = 1,397,445.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.