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Finding the Third Proportional to 624,352.50 and 934,024.50

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Solution

The third proportional to 624,352.50 and 934,024.50 is: 1,397,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,352.50 : 934,024.50 = 934,024.50 : x
  2. Step 2: Convert to fraction form
    624,352.50/934,024.50 = 934,024.50/x
  3. Step 3: Cross multiply
    624,352.50x = 934,024.50 × 934,024.50
  4. Step 4: Simplify right side
    624,352.50x = 872,401,766,600.25
  5. Step 5: Solve for x
    x = 872,401,766,600.25/624,352.50
  6. Step 6: Final answer
    x = 1,397,290.42

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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.