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Finding the Third Proportional to 384,250 and 573,254

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Solution

The third proportional to 384,250 and 573,254 is: 855,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,250 : 573,254 = 573,254 : x
  2. Step 2: Convert to fraction form
    384,250/573,254 = 573,254/x
  3. Step 3: Cross multiply
    384,250x = 573,254 × 573,254
  4. Step 4: Simplify right side
    384,250x = 328,620,148,516
  5. Step 5: Solve for x
    x = 328,620,148,516/384,250
  6. Step 6: Final answer
    x = 855,224.85

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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.