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Finding the Third Proportional to 229,046 and 488,530

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Solution

The third proportional to 229,046 and 488,530 is: 1,041,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,046 : 488,530 = 488,530 : x
  2. Step 2: Convert to fraction form
    229,046/488,530 = 488,530/x
  3. Step 3: Cross multiply
    229,046x = 488,530 × 488,530
  4. Step 4: Simplify right side
    229,046x = 238,661,560,900
  5. Step 5: Solve for x
    x = 238,661,560,900/229,046
  6. Step 6: Final answer
    x = 1,041,980.92

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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.