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Finding the Third Proportional to 272,144 and 585,952

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Solution

The third proportional to 272,144 and 585,952 is: 1,261,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,144 : 585,952 = 585,952 : x
  2. Step 2: Convert to fraction form
    272,144/585,952 = 585,952/x
  3. Step 3: Cross multiply
    272,144x = 585,952 × 585,952
  4. Step 4: Simplify right side
    272,144x = 343,339,746,304
  5. Step 5: Solve for x
    x = 343,339,746,304/272,144
  6. Step 6: Final answer
    x = 1,261,610.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.