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Finding the Third Proportional to 282,237.75 and 610,480.13

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Solution

The third proportional to 282,237.75 and 610,480.13 is: 1,320,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,237.75 : 610,480.13 = 610,480.13 : x
  2. Step 2: Convert to fraction form
    282,237.75/610,480.13 = 610,480.13/x
  3. Step 3: Cross multiply
    282,237.75x = 610,480.13 × 610,480.13
  4. Step 4: Simplify right side
    282,237.75x = 372,685,983,020.02
  5. Step 5: Solve for x
    x = 372,685,983,020.02/282,237.75
  6. Step 6: Final answer
    x = 1,320,468.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.