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Finding the Third Proportional to 399,041.44 and 865,900.13

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Solution

The third proportional to 399,041.44 and 865,900.13 is: 1,878,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,041.44 : 865,900.13 = 865,900.13 : x
  2. Step 2: Convert to fraction form
    399,041.44/865,900.13 = 865,900.13/x
  3. Step 3: Cross multiply
    399,041.44x = 865,900.13 × 865,900.13
  4. Step 4: Simplify right side
    399,041.44x = 749,783,026,475.02
  5. Step 5: Solve for x
    x = 749,783,026,475.02/399,041.44
  6. Step 6: Final answer
    x = 1,878,960.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.