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Finding the Third Proportional to 395,055.46 and 867,006.65

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Solution

The third proportional to 395,055.46 and 867,006.65 is: 1,902,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,055.46 : 867,006.65 = 867,006.65 : x
  2. Step 2: Convert to fraction form
    395,055.46/867,006.65 = 867,006.65/x
  3. Step 3: Cross multiply
    395,055.46x = 867,006.65 × 867,006.65
  4. Step 4: Simplify right side
    395,055.46x = 751,700,531,821.53
  5. Step 5: Solve for x
    x = 751,700,531,821.53/395,055.46
  6. Step 6: Final answer
    x = 1,902,772.18

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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.