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Finding the Third Proportional to 624,294 and 934,731

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Solution

The third proportional to 624,294 and 934,731 is: 1,399,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,294 : 934,731 = 934,731 : x
  2. Step 2: Convert to fraction form
    624,294/934,731 = 934,731/x
  3. Step 3: Cross multiply
    624,294x = 934,731 × 934,731
  4. Step 4: Simplify right side
    624,294x = 873,722,042,361
  5. Step 5: Solve for x
    x = 873,722,042,361/624,294
  6. Step 6: Final answer
    x = 1,399,536.18

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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.