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Finding the Third Proportional to 304,528 and 446,837

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Solution

The third proportional to 304,528 and 446,837 is: 655,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,528 : 446,837 = 446,837 : x
  2. Step 2: Convert to fraction form
    304,528/446,837 = 446,837/x
  3. Step 3: Cross multiply
    304,528x = 446,837 × 446,837
  4. Step 4: Simplify right side
    304,528x = 199,663,304,569
  5. Step 5: Solve for x
    x = 199,663,304,569/304,528
  6. Step 6: Final answer
    x = 655,648.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.