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Finding the Third Proportional to 262,370 and 566,212

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Solution

The third proportional to 262,370 and 566,212 is: 1,221,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,370 : 566,212 = 566,212 : x
  2. Step 2: Convert to fraction form
    262,370/566,212 = 566,212/x
  3. Step 3: Cross multiply
    262,370x = 566,212 × 566,212
  4. Step 4: Simplify right side
    262,370x = 320,596,028,944
  5. Step 5: Solve for x
    x = 320,596,028,944/262,370
  6. Step 6: Final answer
    x = 1,221,923.35

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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.