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Finding the Third Proportional to 482,355 and 1,059,297.75

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Solution

The third proportional to 482,355 and 1,059,297.75 is: 2,326,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,355 : 1,059,297.75 = 1,059,297.75 : x
  2. Step 2: Convert to fraction form
    482,355/1,059,297.75 = 1,059,297.75/x
  3. Step 3: Cross multiply
    482,355x = 1,059,297.75 × 1,059,297.75
  4. Step 4: Simplify right side
    482,355x = 1,122,111,723,155.06
  5. Step 5: Solve for x
    x = 1,122,111,723,155.06/482,355
  6. Step 6: Final answer
    x = 2,326,319.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.