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Finding the Third Proportional to 519,327 and 821,630.25

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Solution

The third proportional to 519,327 and 821,630.25 is: 1,299,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,327 : 821,630.25 = 821,630.25 : x
  2. Step 2: Convert to fraction form
    519,327/821,630.25 = 821,630.25/x
  3. Step 3: Cross multiply
    519,327x = 821,630.25 × 821,630.25
  4. Step 4: Simplify right side
    519,327x = 675,076,267,715.06
  5. Step 5: Solve for x
    x = 675,076,267,715.06/519,327
  6. Step 6: Final answer
    x = 1,299,905.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.