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Finding the Third Proportional to 274,762 and 585,816

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Solution

The third proportional to 274,762 and 585,816 is: 1,249,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,762 : 585,816 = 585,816 : x
  2. Step 2: Convert to fraction form
    274,762/585,816 = 585,816/x
  3. Step 3: Cross multiply
    274,762x = 585,816 × 585,816
  4. Step 4: Simplify right side
    274,762x = 343,180,385,856
  5. Step 5: Solve for x
    x = 343,180,385,856/274,762
  6. Step 6: Final answer
    x = 1,249,009.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.