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Finding the Third Proportional to 294,394.50 and 624,115.13

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Solution

The third proportional to 294,394.50 and 624,115.13 is: 1,323,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,394.50 : 624,115.13 = 624,115.13 : x
  2. Step 2: Convert to fraction form
    294,394.50/624,115.13 = 624,115.13/x
  3. Step 3: Cross multiply
    294,394.50x = 624,115.13 × 624,115.13
  4. Step 4: Simplify right side
    294,394.50x = 389,519,689,253.77
  5. Step 5: Solve for x
    x = 389,519,689,253.77/294,394.50
  6. Step 6: Final answer
    x = 1,323,121.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.