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Finding the Third Proportional to 487,495.50 and 1,087,016.25

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Solution

The third proportional to 487,495.50 and 1,087,016.25 is: 2,423,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,495.50 : 1,087,016.25 = 1,087,016.25 : x
  2. Step 2: Convert to fraction form
    487,495.50/1,087,016.25 = 1,087,016.25/x
  3. Step 3: Cross multiply
    487,495.50x = 1,087,016.25 × 1,087,016.25
  4. Step 4: Simplify right side
    487,495.50x = 1,181,604,327,764.06
  5. Step 5: Solve for x
    x = 1,181,604,327,764.06/487,495.50
  6. Step 6: Final answer
    x = 2,423,826.12

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.