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Finding the Third Proportional to 425,288.81 and 673,753.50

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Solution

The third proportional to 425,288.81 and 673,753.50 is: 1,067,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,288.81 : 673,753.50 = 673,753.50 : x
  2. Step 2: Convert to fraction form
    425,288.81/673,753.50 = 673,753.50/x
  3. Step 3: Cross multiply
    425,288.81x = 673,753.50 × 673,753.50
  4. Step 4: Simplify right side
    425,288.81x = 453,943,778,762.25
  5. Step 5: Solve for x
    x = 453,943,778,762.25/425,288.81
  6. Step 6: Final answer
    x = 1,067,377.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.