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Finding the Third Proportional to 709,626 and 1,061,500.50

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Solution

The third proportional to 709,626 and 1,061,500.50 is: 1,587,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,626 : 1,061,500.50 = 1,061,500.50 : x
  2. Step 2: Convert to fraction form
    709,626/1,061,500.50 = 1,061,500.50/x
  3. Step 3: Cross multiply
    709,626x = 1,061,500.50 × 1,061,500.50
  4. Step 4: Simplify right side
    709,626x = 1,126,783,311,500.25
  5. Step 5: Solve for x
    x = 1,126,783,311,500.25/709,626
  6. Step 6: Final answer
    x = 1,587,855.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.