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Finding the Third Proportional to 312,294 and 671,959.50

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Solution

The third proportional to 312,294 and 671,959.50 is: 1,445,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,294 : 671,959.50 = 671,959.50 : x
  2. Step 2: Convert to fraction form
    312,294/671,959.50 = 671,959.50/x
  3. Step 3: Cross multiply
    312,294x = 671,959.50 × 671,959.50
  4. Step 4: Simplify right side
    312,294x = 451,529,569,640.25
  5. Step 5: Solve for x
    x = 451,529,569,640.25/312,294
  6. Step 6: Final answer
    x = 1,445,847.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.