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Finding the Third Proportional to 227,787 and 483,604

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Solution

The third proportional to 227,787 and 483,604 is: 1,026,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,787 : 483,604 = 483,604 : x
  2. Step 2: Convert to fraction form
    227,787/483,604 = 483,604/x
  3. Step 3: Cross multiply
    227,787x = 483,604 × 483,604
  4. Step 4: Simplify right side
    227,787x = 233,872,828,816
  5. Step 5: Solve for x
    x = 233,872,828,816/227,787
  6. Step 6: Final answer
    x = 1,026,717.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.