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Finding the Third Proportional to 340,785 and 534,634.50

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Solution

The third proportional to 340,785 and 534,634.50 is: 838,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,785 : 534,634.50 = 534,634.50 : x
  2. Step 2: Convert to fraction form
    340,785/534,634.50 = 534,634.50/x
  3. Step 3: Cross multiply
    340,785x = 534,634.50 × 534,634.50
  4. Step 4: Simplify right side
    340,785x = 285,834,048,590.25
  5. Step 5: Solve for x
    x = 285,834,048,590.25/340,785
  6. Step 6: Final answer
    x = 838,751.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.