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Finding the Third Proportional to 252,768 and 585,168

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Solution

The third proportional to 252,768 and 585,168 is: 1,354,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,768 : 585,168 = 585,168 : x
  2. Step 2: Convert to fraction form
    252,768/585,168 = 585,168/x
  3. Step 3: Cross multiply
    252,768x = 585,168 × 585,168
  4. Step 4: Simplify right side
    252,768x = 342,421,588,224
  5. Step 5: Solve for x
    x = 342,421,588,224/252,768
  6. Step 6: Final answer
    x = 1,354,687.26

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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.