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Finding the Third Proportional to 241,431 and 519,678

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Solution

The third proportional to 241,431 and 519,678 is: 1,118,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,431 : 519,678 = 519,678 : x
  2. Step 2: Convert to fraction form
    241,431/519,678 = 519,678/x
  3. Step 3: Cross multiply
    241,431x = 519,678 × 519,678
  4. Step 4: Simplify right side
    241,431x = 270,065,223,684
  5. Step 5: Solve for x
    x = 270,065,223,684/241,431
  6. Step 6: Final answer
    x = 1,118,602.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.