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Finding the Third Proportional to 229,788 and 486,071

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Solution

The third proportional to 229,788 and 486,071 is: 1,028,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,788 : 486,071 = 486,071 : x
  2. Step 2: Convert to fraction form
    229,788/486,071 = 486,071/x
  3. Step 3: Cross multiply
    229,788x = 486,071 × 486,071
  4. Step 4: Simplify right side
    229,788x = 236,265,017,041
  5. Step 5: Solve for x
    x = 236,265,017,041/229,788
  6. Step 6: Final answer
    x = 1,028,186.92

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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.