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Finding the Third Proportional to 709,195.50 and 955,435.50

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Solution

The third proportional to 709,195.50 and 955,435.50 is: 1,287,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,195.50 : 955,435.50 = 955,435.50 : x
  2. Step 2: Convert to fraction form
    709,195.50/955,435.50 = 955,435.50/x
  3. Step 3: Cross multiply
    709,195.50x = 955,435.50 × 955,435.50
  4. Step 4: Simplify right side
    709,195.50x = 912,856,994,660.25
  5. Step 5: Solve for x
    x = 912,856,994,660.25/709,195.50
  6. Step 6: Final answer
    x = 1,287,172.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.