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Finding the Third Proportional to 384,524 and 573,600

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Solution

The third proportional to 384,524 and 573,600 is: 855,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,524 : 573,600 = 573,600 : x
  2. Step 2: Convert to fraction form
    384,524/573,600 = 573,600/x
  3. Step 3: Cross multiply
    384,524x = 573,600 × 573,600
  4. Step 4: Simplify right side
    384,524x = 329,016,960,000
  5. Step 5: Solve for x
    x = 329,016,960,000/384,524
  6. Step 6: Final answer
    x = 855,647.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.