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Finding the Third Proportional to 624,283 and 934,711

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Solution

The third proportional to 624,283 and 934,711 is: 1,399,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,283 : 934,711 = 934,711 : x
  2. Step 2: Convert to fraction form
    624,283/934,711 = 934,711/x
  3. Step 3: Cross multiply
    624,283x = 934,711 × 934,711
  4. Step 4: Simplify right side
    624,283x = 873,684,653,521
  5. Step 5: Solve for x
    x = 873,684,653,521/624,283
  6. Step 6: Final answer
    x = 1,399,500.95

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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.