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Finding the Third Proportional to 624,434 and 934,138

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Solution

The third proportional to 624,434 and 934,138 is: 1,397,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,434 : 934,138 = 934,138 : x
  2. Step 2: Convert to fraction form
    624,434/934,138 = 934,138/x
  3. Step 3: Cross multiply
    624,434x = 934,138 × 934,138
  4. Step 4: Simplify right side
    624,434x = 872,613,803,044
  5. Step 5: Solve for x
    x = 872,613,803,044/624,434
  6. Step 6: Final answer
    x = 1,397,447.61

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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.