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Finding the Third Proportional to 340,750 and 534,565

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Solution

The third proportional to 340,750 and 534,565 is: 838,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,750 : 534,565 = 534,565 : x
  2. Step 2: Convert to fraction form
    340,750/534,565 = 534,565/x
  3. Step 3: Cross multiply
    340,750x = 534,565 × 534,565
  4. Step 4: Simplify right side
    340,750x = 285,759,739,225
  5. Step 5: Solve for x
    x = 285,759,739,225/340,750
  6. Step 6: Final answer
    x = 838,619.92

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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.