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Finding the Third Proportional to 315,714 and 676,356

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Solution

The third proportional to 315,714 and 676,356 is: 1,448,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,714 : 676,356 = 676,356 : x
  2. Step 2: Convert to fraction form
    315,714/676,356 = 676,356/x
  3. Step 3: Cross multiply
    315,714x = 676,356 × 676,356
  4. Step 4: Simplify right side
    315,714x = 457,457,438,736
  5. Step 5: Solve for x
    x = 457,457,438,736/315,714
  6. Step 6: Final answer
    x = 1,448,961.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.