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Finding the Third Proportional to 229,787 and 498,804

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Solution

The third proportional to 229,787 and 498,804 is: 1,082,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,787 : 498,804 = 498,804 : x
  2. Step 2: Convert to fraction form
    229,787/498,804 = 498,804/x
  3. Step 3: Cross multiply
    229,787x = 498,804 × 498,804
  4. Step 4: Simplify right side
    229,787x = 248,805,430,416
  5. Step 5: Solve for x
    x = 248,805,430,416/229,787
  6. Step 6: Final answer
    x = 1,082,765.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.