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Finding the Third Proportional to 262,506 and 573,132

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Solution

The third proportional to 262,506 and 573,132 is: 1,251,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,506 : 573,132 = 573,132 : x
  2. Step 2: Convert to fraction form
    262,506/573,132 = 573,132/x
  3. Step 3: Cross multiply
    262,506x = 573,132 × 573,132
  4. Step 4: Simplify right side
    262,506x = 328,480,289,424
  5. Step 5: Solve for x
    x = 328,480,289,424/262,506
  6. Step 6: Final answer
    x = 1,251,324.88

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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.