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Finding the Third Proportional to 252,882 and 585,437

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Solution

The third proportional to 252,882 and 585,437 is: 1,355,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,882 : 585,437 = 585,437 : x
  2. Step 2: Convert to fraction form
    252,882/585,437 = 585,437/x
  3. Step 3: Cross multiply
    252,882x = 585,437 × 585,437
  4. Step 4: Simplify right side
    252,882x = 342,736,480,969
  5. Step 5: Solve for x
    x = 342,736,480,969/252,882
  6. Step 6: Final answer
    x = 1,355,321.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.