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Finding the Third Proportional to 283,320 and 610,356

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Solution

The third proportional to 283,320 and 610,356 is: 1,314,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,320 : 610,356 = 610,356 : x
  2. Step 2: Convert to fraction form
    283,320/610,356 = 610,356/x
  3. Step 3: Cross multiply
    283,320x = 610,356 × 610,356
  4. Step 4: Simplify right side
    283,320x = 372,534,446,736
  5. Step 5: Solve for x
    x = 372,534,446,736/283,320
  6. Step 6: Final answer
    x = 1,314,889.34

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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.