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Finding the Third Proportional to 331,206 and 714,828

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Solution

The third proportional to 331,206 and 714,828 is: 1,542,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,206 : 714,828 = 714,828 : x
  2. Step 2: Convert to fraction form
    331,206/714,828 = 714,828/x
  3. Step 3: Cross multiply
    331,206x = 714,828 × 714,828
  4. Step 4: Simplify right side
    331,206x = 510,979,069,584
  5. Step 5: Solve for x
    x = 510,979,069,584/331,206
  6. Step 6: Final answer
    x = 1,542,783.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.