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Finding the Third Proportional to 374,083 and 580,422

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Solution

The third proportional to 374,083 and 580,422 is: 900,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,083 : 580,422 = 580,422 : x
  2. Step 2: Convert to fraction form
    374,083/580,422 = 580,422/x
  3. Step 3: Cross multiply
    374,083x = 580,422 × 580,422
  4. Step 4: Simplify right side
    374,083x = 336,889,698,084
  5. Step 5: Solve for x
    x = 336,889,698,084/374,083
  6. Step 6: Final answer
    x = 900,574.73

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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.