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Finding the Third Proportional to 350,355 and 534,280.50

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Solution

The third proportional to 350,355 and 534,280.50 is: 814,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,355 : 534,280.50 = 534,280.50 : x
  2. Step 2: Convert to fraction form
    350,355/534,280.50 = 534,280.50/x
  3. Step 3: Cross multiply
    350,355x = 534,280.50 × 534,280.50
  4. Step 4: Simplify right side
    350,355x = 285,455,652,680.25
  5. Step 5: Solve for x
    x = 285,455,652,680.25/350,355
  6. Step 6: Final answer
    x = 814,761.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.