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Finding the Third Proportional to 482,895 and 747,029.25

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Solution

The third proportional to 482,895 and 747,029.25 is: 1,155,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,895 : 747,029.25 = 747,029.25 : x
  2. Step 2: Convert to fraction form
    482,895/747,029.25 = 747,029.25/x
  3. Step 3: Cross multiply
    482,895x = 747,029.25 × 747,029.25
  4. Step 4: Simplify right side
    482,895x = 558,052,700,355.56
  5. Step 5: Solve for x
    x = 558,052,700,355.56/482,895
  6. Step 6: Final answer
    x = 1,155,639.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.