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Finding the Third Proportional to 624,854.50 and 946,044.75

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Solution

The third proportional to 624,854.50 and 946,044.75 is: 1,432,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,854.50 : 946,044.75 = 946,044.75 : x
  2. Step 2: Convert to fraction form
    624,854.50/946,044.75 = 946,044.75/x
  3. Step 3: Cross multiply
    624,854.50x = 946,044.75 × 946,044.75
  4. Step 4: Simplify right side
    624,854.50x = 895,000,669,002.56
  5. Step 5: Solve for x
    x = 895,000,669,002.56/624,854.50
  6. Step 6: Final answer
    x = 1,432,334.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.