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Finding the Third Proportional to 399,752.72 and 874,239.19

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Solution

The third proportional to 399,752.72 and 874,239.19 is: 1,911,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,752.72 : 874,239.19 = 874,239.19 : x
  2. Step 2: Convert to fraction form
    399,752.72/874,239.19 = 874,239.19/x
  3. Step 3: Cross multiply
    399,752.72x = 874,239.19 × 874,239.19
  4. Step 4: Simplify right side
    399,752.72x = 764,294,156,960.66
  5. Step 5: Solve for x
    x = 764,294,156,960.66/399,752.72
  6. Step 6: Final answer
    x = 1,911,917.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.