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Finding the Third Proportional to 304,524 and 655,608

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Solution

The third proportional to 304,524 and 655,608 is: 1,411,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,524 : 655,608 = 655,608 : x
  2. Step 2: Convert to fraction form
    304,524/655,608 = 655,608/x
  3. Step 3: Cross multiply
    304,524x = 655,608 × 655,608
  4. Step 4: Simplify right side
    304,524x = 429,821,849,664
  5. Step 5: Solve for x
    x = 429,821,849,664/304,524
  6. Step 6: Final answer
    x = 1,411,454.76

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