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Finding the Third Proportional to 304,520 and 655,600

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Solution

The third proportional to 304,520 and 655,600 is: 1,411,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,520 : 655,600 = 655,600 : x
  2. Step 2: Convert to fraction form
    304,520/655,600 = 655,600/x
  3. Step 3: Cross multiply
    304,520x = 655,600 × 655,600
  4. Step 4: Simplify right side
    304,520x = 429,811,360,000
  5. Step 5: Solve for x
    x = 429,811,360,000/304,520
  6. Step 6: Final answer
    x = 1,411,438.85

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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.