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Finding the Third Proportional to 382,617,982 and 573,827,327

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Solution

The third proportional to 382,617,982 and 573,827,327 is: 860,591,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,617,982 : 573,827,327 = 573,827,327 : x
  2. Step 2: Convert to fraction form
    382,617,982/573,827,327 = 573,827,327/x
  3. Step 3: Cross multiply
    382,617,982x = 573,827,327 × 573,827,327
  4. Step 4: Simplify right side
    382,617,982x = 329,277,801,211,964,928
  5. Step 5: Solve for x
    x = 329,277,801,211,964,928/382,617,982
  6. Step 6: Final answer
    x = 860,591,547.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.