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Finding the Third Proportional to 304,437.23 and 660,738.83

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Solution

The third proportional to 304,437.23 and 660,738.83 is: 1,434,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,437.23 : 660,738.83 = 660,738.83 : x
  2. Step 2: Convert to fraction form
    304,437.23/660,738.83 = 660,738.83/x
  3. Step 3: Cross multiply
    304,437.23x = 660,738.83 × 660,738.83
  4. Step 4: Simplify right side
    304,437.23x = 436,575,804,154.02
  5. Step 5: Solve for x
    x = 436,575,804,154.02/304,437.23
  6. Step 6: Final answer
    x = 1,434,042.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.