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Finding the Third Proportional to 276,363 and 573,498

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Solution

The third proportional to 276,363 and 573,498 is: 1,190,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,363 : 573,498 = 573,498 : x
  2. Step 2: Convert to fraction form
    276,363/573,498 = 573,498/x
  3. Step 3: Cross multiply
    276,363x = 573,498 × 573,498
  4. Step 4: Simplify right side
    276,363x = 328,899,956,004
  5. Step 5: Solve for x
    x = 328,899,956,004/276,363
  6. Step 6: Final answer
    x = 1,190,101.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.