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Finding the Third Proportional to 265,754 and 566,982

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Solution

The third proportional to 265,754 and 566,982 is: 1,209,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,754 : 566,982 = 566,982 : x
  2. Step 2: Convert to fraction form
    265,754/566,982 = 566,982/x
  3. Step 3: Cross multiply
    265,754x = 566,982 × 566,982
  4. Step 4: Simplify right side
    265,754x = 321,468,588,324
  5. Step 5: Solve for x
    x = 321,468,588,324/265,754
  6. Step 6: Final answer
    x = 1,209,647.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.