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Finding the Third Proportional to 624,280.50 and 934,708.50

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Solution

The third proportional to 624,280.50 and 934,708.50 is: 1,399,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,280.50 : 934,708.50 = 934,708.50 : x
  2. Step 2: Convert to fraction form
    624,280.50/934,708.50 = 934,708.50/x
  3. Step 3: Cross multiply
    624,280.50x = 934,708.50 × 934,708.50
  4. Step 4: Simplify right side
    624,280.50x = 873,679,979,972.25
  5. Step 5: Solve for x
    x = 873,679,979,972.25/624,280.50
  6. Step 6: Final answer
    x = 1,399,499.07

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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.