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Finding the Third Proportional to 315,984.38 and 676,255.50

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Solution

The third proportional to 315,984.38 and 676,255.50 is: 1,447,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,984.38 : 676,255.50 = 676,255.50 : x
  2. Step 2: Convert to fraction form
    315,984.38/676,255.50 = 676,255.50/x
  3. Step 3: Cross multiply
    315,984.38x = 676,255.50 × 676,255.50
  4. Step 4: Simplify right side
    315,984.38x = 457,321,501,280.25
  5. Step 5: Solve for x
    x = 457,321,501,280.25/315,984.38
  6. Step 6: Final answer
    x = 1,447,291.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.