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Finding the Third Proportional to 304,465.50 and 425,660.81

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Solution

The third proportional to 304,465.50 and 425,660.81 is: 595,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,465.50 : 425,660.81 = 425,660.81 : x
  2. Step 2: Convert to fraction form
    304,465.50/425,660.81 = 425,660.81/x
  3. Step 3: Cross multiply
    304,465.50x = 425,660.81 × 425,660.81
  4. Step 4: Simplify right side
    304,465.50x = 181,187,127,298.16
  5. Step 5: Solve for x
    x = 181,187,127,298.16/304,465.50
  6. Step 6: Final answer
    x = 595,099.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.