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Finding the Third Proportional to 308,976 and 478,165.50

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Solution

The third proportional to 308,976 and 478,165.50 is: 740,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,976 : 478,165.50 = 478,165.50 : x
  2. Step 2: Convert to fraction form
    308,976/478,165.50 = 478,165.50/x
  3. Step 3: Cross multiply
    308,976x = 478,165.50 × 478,165.50
  4. Step 4: Simplify right side
    308,976x = 228,642,245,390.25
  5. Step 5: Solve for x
    x = 228,642,245,390.25/308,976
  6. Step 6: Final answer
    x = 740,000.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.