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Finding the Third Proportional to 470,873.25 and 704,470.50

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Solution

The third proportional to 470,873.25 and 704,470.50 is: 1,053,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,873.25 : 704,470.50 = 704,470.50 : x
  2. Step 2: Convert to fraction form
    470,873.25/704,470.50 = 704,470.50/x
  3. Step 3: Cross multiply
    470,873.25x = 704,470.50 × 704,470.50
  4. Step 4: Simplify right side
    470,873.25x = 496,278,685,370.25
  5. Step 5: Solve for x
    x = 496,278,685,370.25/470,873.25
  6. Step 6: Final answer
    x = 1,053,953.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.