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Finding the Third Proportional to 257,115 and 558,454.50

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Solution

The third proportional to 257,115 and 558,454.50 is: 1,212,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,115 : 558,454.50 = 558,454.50 : x
  2. Step 2: Convert to fraction form
    257,115/558,454.50 = 558,454.50/x
  3. Step 3: Cross multiply
    257,115x = 558,454.50 × 558,454.50
  4. Step 4: Simplify right side
    257,115x = 311,871,428,570.25
  5. Step 5: Solve for x
    x = 311,871,428,570.25/257,115
  6. Step 6: Final answer
    x = 1,212,964.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.