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Finding the Third Proportional to 624,280 and 934,710

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Solution

The third proportional to 624,280 and 934,710 is: 1,399,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,280 : 934,710 = 934,710 : x
  2. Step 2: Convert to fraction form
    624,280/934,710 = 934,710/x
  3. Step 3: Cross multiply
    624,280x = 934,710 × 934,710
  4. Step 4: Simplify right side
    624,280x = 873,682,784,100
  5. Step 5: Solve for x
    x = 873,682,784,100/624,280
  6. Step 6: Final answer
    x = 1,399,504.68

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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.