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Finding the Third Proportional to 384,267 and 617,398.50

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Solution

The third proportional to 384,267 and 617,398.50 is: 991,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,267 : 617,398.50 = 617,398.50 : x
  2. Step 2: Convert to fraction form
    384,267/617,398.50 = 617,398.50/x
  3. Step 3: Cross multiply
    384,267x = 617,398.50 × 617,398.50
  4. Step 4: Simplify right side
    384,267x = 381,180,907,802.25
  5. Step 5: Solve for x
    x = 381,180,907,802.25/384,267
  6. Step 6: Final answer
    x = 991,968.89

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.