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Finding the Third Proportional to 304,669.13 and 425,932.31

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Solution

The third proportional to 304,669.13 and 425,932.31 is: 595,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,669.13 : 425,932.31 = 425,932.31 : x
  2. Step 2: Convert to fraction form
    304,669.13/425,932.31 = 425,932.31/x
  3. Step 3: Cross multiply
    304,669.13x = 425,932.31 × 425,932.31
  4. Step 4: Simplify right side
    304,669.13x = 181,418,334,831.60
  5. Step 5: Solve for x
    x = 181,418,334,831.60/304,669.13
  6. Step 6: Final answer
    x = 595,460.19

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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.