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Finding the Third Proportional to 221,246 and 520,062

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Solution

The third proportional to 221,246 and 520,062 is: 1,222,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,246 : 520,062 = 520,062 : x
  2. Step 2: Convert to fraction form
    221,246/520,062 = 520,062/x
  3. Step 3: Cross multiply
    221,246x = 520,062 × 520,062
  4. Step 4: Simplify right side
    221,246x = 270,464,483,844
  5. Step 5: Solve for x
    x = 270,464,483,844/221,246
  6. Step 6: Final answer
    x = 1,222,460.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.