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Finding the Third Proportional to 464,238 and 984,348

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Solution

The third proportional to 464,238 and 984,348 is: 2,087,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,238 : 984,348 = 984,348 : x
  2. Step 2: Convert to fraction form
    464,238/984,348 = 984,348/x
  3. Step 3: Cross multiply
    464,238x = 984,348 × 984,348
  4. Step 4: Simplify right side
    464,238x = 968,940,985,104
  5. Step 5: Solve for x
    x = 968,940,985,104/464,238
  6. Step 6: Final answer
    x = 2,087,164.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.