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Finding the Third Proportional to 272,886.75 and 586,815.75

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Solution

The third proportional to 272,886.75 and 586,815.75 is: 1,261,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,886.75 : 586,815.75 = 586,815.75 : x
  2. Step 2: Convert to fraction form
    272,886.75/586,815.75 = 586,815.75/x
  3. Step 3: Cross multiply
    272,886.75x = 586,815.75 × 586,815.75
  4. Step 4: Simplify right side
    272,886.75x = 344,352,724,448.06
  5. Step 5: Solve for x
    x = 344,352,724,448.06/272,886.75
  6. Step 6: Final answer
    x = 1,261,888.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.