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Finding the Third Proportional to 312,927.75 and 675,742.50

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Solution

The third proportional to 312,927.75 and 675,742.50 is: 1,459,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,927.75 : 675,742.50 = 675,742.50 : x
  2. Step 2: Convert to fraction form
    312,927.75/675,742.50 = 675,742.50/x
  3. Step 3: Cross multiply
    312,927.75x = 675,742.50 × 675,742.50
  4. Step 4: Simplify right side
    312,927.75x = 456,627,926,306.25
  5. Step 5: Solve for x
    x = 456,627,926,306.25/312,927.75
  6. Step 6: Final answer
    x = 1,459,211.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.