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Finding the Third Proportional to 222,324 and 487,858

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Solution

The third proportional to 222,324 and 487,858 is: 1,070,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,324 : 487,858 = 487,858 : x
  2. Step 2: Convert to fraction form
    222,324/487,858 = 487,858/x
  3. Step 3: Cross multiply
    222,324x = 487,858 × 487,858
  4. Step 4: Simplify right side
    222,324x = 238,005,428,164
  5. Step 5: Solve for x
    x = 238,005,428,164/222,324
  6. Step 6: Final answer
    x = 1,070,534.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.