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Finding the Third Proportional to 624,279 and 934,709

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Solution

The third proportional to 624,279 and 934,709 is: 1,399,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,279 : 934,709 = 934,709 : x
  2. Step 2: Convert to fraction form
    624,279/934,709 = 934,709/x
  3. Step 3: Cross multiply
    624,279x = 934,709 × 934,709
  4. Step 4: Simplify right side
    624,279x = 873,680,914,681
  5. Step 5: Solve for x
    x = 873,680,914,681/624,279
  6. Step 6: Final answer
    x = 1,399,503.93

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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.