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Finding the Third Proportional to 243,984 and 519,072

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Solution

The third proportional to 243,984 and 519,072 is: 1,104,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,984 : 519,072 = 519,072 : x
  2. Step 2: Convert to fraction form
    243,984/519,072 = 519,072/x
  3. Step 3: Cross multiply
    243,984x = 519,072 × 519,072
  4. Step 4: Simplify right side
    243,984x = 269,435,741,184
  5. Step 5: Solve for x
    x = 269,435,741,184/243,984
  6. Step 6: Final answer
    x = 1,104,317.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.