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Finding the Third Proportional to 298,171.13 and 456,004.69

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Solution

The third proportional to 298,171.13 and 456,004.69 is: 697,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,171.13 : 456,004.69 = 456,004.69 : x
  2. Step 2: Convert to fraction form
    298,171.13/456,004.69 = 456,004.69/x
  3. Step 3: Cross multiply
    298,171.13x = 456,004.69 × 456,004.69
  4. Step 4: Simplify right side
    298,171.13x = 207,940,275,021.97
  5. Step 5: Solve for x
    x = 207,940,275,021.97/298,171.13
  6. Step 6: Final answer
    x = 697,385.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.