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Finding the Third Proportional to 312,250.50 and 649,045.50

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Solution

The third proportional to 312,250.50 and 649,045.50 is: 1,349,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,250.50 : 649,045.50 = 649,045.50 : x
  2. Step 2: Convert to fraction form
    312,250.50/649,045.50 = 649,045.50/x
  3. Step 3: Cross multiply
    312,250.50x = 649,045.50 × 649,045.50
  4. Step 4: Simplify right side
    312,250.50x = 421,260,061,070.25
  5. Step 5: Solve for x
    x = 421,260,061,070.25/312,250.50
  6. Step 6: Final answer
    x = 1,349,109.32

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.