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Finding the Third Proportional to 266,992.50 and 583,219.50

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Solution

The third proportional to 266,992.50 and 583,219.50 is: 1,273,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,992.50 : 583,219.50 = 583,219.50 : x
  2. Step 2: Convert to fraction form
    266,992.50/583,219.50 = 583,219.50/x
  3. Step 3: Cross multiply
    266,992.50x = 583,219.50 × 583,219.50
  4. Step 4: Simplify right side
    266,992.50x = 340,144,985,180.25
  5. Step 5: Solve for x
    x = 340,144,985,180.25/266,992.50
  6. Step 6: Final answer
    x = 1,273,987.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.