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Finding the Third Proportional to 304,521 and 655,698

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Solution

The third proportional to 304,521 and 655,698 is: 1,411,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,521 : 655,698 = 655,698 : x
  2. Step 2: Convert to fraction form
    304,521/655,698 = 655,698/x
  3. Step 3: Cross multiply
    304,521x = 655,698 × 655,698
  4. Step 4: Simplify right side
    304,521x = 429,939,867,204
  5. Step 5: Solve for x
    x = 429,939,867,204/304,521
  6. Step 6: Final answer
    x = 1,411,856.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.