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Finding the Third Proportional to 204,552 and 446,292

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Solution

The third proportional to 204,552 and 446,292 is: 973,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,552 : 446,292 = 446,292 : x
  2. Step 2: Convert to fraction form
    204,552/446,292 = 446,292/x
  3. Step 3: Cross multiply
    204,552x = 446,292 × 446,292
  4. Step 4: Simplify right side
    204,552x = 199,176,549,264
  5. Step 5: Solve for x
    x = 199,176,549,264/204,552
  6. Step 6: Final answer
    x = 973,720.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.