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Finding the Third Proportional to 243,215 and 520,054

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Solution

The third proportional to 243,215 and 520,054 is: 1,112,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,215 : 520,054 = 520,054 : x
  2. Step 2: Convert to fraction form
    243,215/520,054 = 520,054/x
  3. Step 3: Cross multiply
    243,215x = 520,054 × 520,054
  4. Step 4: Simplify right side
    243,215x = 270,456,162,916
  5. Step 5: Solve for x
    x = 270,456,162,916/243,215
  6. Step 6: Final answer
    x = 1,112,004.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.