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Finding the Third Proportional to 262,882 and 570,053

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Solution

The third proportional to 262,882 and 570,053 is: 1,236,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,882 : 570,053 = 570,053 : x
  2. Step 2: Convert to fraction form
    262,882/570,053 = 570,053/x
  3. Step 3: Cross multiply
    262,882x = 570,053 × 570,053
  4. Step 4: Simplify right side
    262,882x = 324,960,422,809
  5. Step 5: Solve for x
    x = 324,960,422,809/262,882
  6. Step 6: Final answer
    x = 1,236,145.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.