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Finding the Third Proportional to 262,372 and 566,216

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Solution

The third proportional to 262,372 and 566,216 is: 1,221,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,372 : 566,216 = 566,216 : x
  2. Step 2: Convert to fraction form
    262,372/566,216 = 566,216/x
  3. Step 3: Cross multiply
    262,372x = 566,216 × 566,216
  4. Step 4: Simplify right side
    262,372x = 320,600,558,656
  5. Step 5: Solve for x
    x = 320,600,558,656/262,372
  6. Step 6: Final answer
    x = 1,221,931.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.