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Finding the Third Proportional to 262,486 and 573,086

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Solution

The third proportional to 262,486 and 573,086 is: 1,251,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,486 : 573,086 = 573,086 : x
  2. Step 2: Convert to fraction form
    262,486/573,086 = 573,086/x
  3. Step 3: Cross multiply
    262,486x = 573,086 × 573,086
  4. Step 4: Simplify right side
    262,486x = 328,427,563,396
  5. Step 5: Solve for x
    x = 328,427,563,396/262,486
  6. Step 6: Final answer
    x = 1,251,219.35

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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.