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Finding the Third Proportional to 282,943.13 and 441,637.31

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Solution

The third proportional to 282,943.13 and 441,637.31 is: 689,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,943.13 : 441,637.31 = 441,637.31 : x
  2. Step 2: Convert to fraction form
    282,943.13/441,637.31 = 441,637.31/x
  3. Step 3: Cross multiply
    282,943.13x = 441,637.31 × 441,637.31
  4. Step 4: Simplify right side
    282,943.13x = 195,043,515,792.22
  5. Step 5: Solve for x
    x = 195,043,515,792.22/282,943.13
  6. Step 6: Final answer
    x = 689,338.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.