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Finding the Third Proportional to 262,498 and 573,112

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Solution

The third proportional to 262,498 and 573,112 is: 1,251,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,498 : 573,112 = 573,112 : x
  2. Step 2: Convert to fraction form
    262,498/573,112 = 573,112/x
  3. Step 3: Cross multiply
    262,498x = 573,112 × 573,112
  4. Step 4: Simplify right side
    262,498x = 328,457,364,544
  5. Step 5: Solve for x
    x = 328,457,364,544/262,498
  6. Step 6: Final answer
    x = 1,251,275.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.