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Finding the Third Proportional to 304,133 and 444,643

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Solution

The third proportional to 304,133 and 444,643 is: 650,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,133 : 444,643 = 444,643 : x
  2. Step 2: Convert to fraction form
    304,133/444,643 = 444,643/x
  3. Step 3: Cross multiply
    304,133x = 444,643 × 444,643
  4. Step 4: Simplify right side
    304,133x = 197,707,397,449
  5. Step 5: Solve for x
    x = 197,707,397,449/304,133
  6. Step 6: Final answer
    x = 650,068.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.