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Finding the Third Proportional to 680,979.50 and 1,097,239.50

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Solution

The third proportional to 680,979.50 and 1,097,239.50 is: 1,767,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,979.50 : 1,097,239.50 = 1,097,239.50 : x
  2. Step 2: Convert to fraction form
    680,979.50/1,097,239.50 = 1,097,239.50/x
  3. Step 3: Cross multiply
    680,979.50x = 1,097,239.50 × 1,097,239.50
  4. Step 4: Simplify right side
    680,979.50x = 1,203,934,520,360.25
  5. Step 5: Solve for x
    x = 1,203,934,520,360.25/680,979.50
  6. Step 6: Final answer
    x = 1,767,945.32

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.