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Finding the Third Proportional to 282,129.75 and 608,546.25

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Solution

The third proportional to 282,129.75 and 608,546.25 is: 1,312,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,129.75 : 608,546.25 = 608,546.25 : x
  2. Step 2: Convert to fraction form
    282,129.75/608,546.25 = 608,546.25/x
  3. Step 3: Cross multiply
    282,129.75x = 608,546.25 × 608,546.25
  4. Step 4: Simplify right side
    282,129.75x = 370,328,538,389.06
  5. Step 5: Solve for x
    x = 370,328,538,389.06/282,129.75
  6. Step 6: Final answer
    x = 1,312,617.82

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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.