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Finding the Third Proportional to 296,957.25 and 478,120.50

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Solution

The third proportional to 296,957.25 and 478,120.50 is: 769,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,957.25 : 478,120.50 = 478,120.50 : x
  2. Step 2: Convert to fraction form
    296,957.25/478,120.50 = 478,120.50/x
  3. Step 3: Cross multiply
    296,957.25x = 478,120.50 × 478,120.50
  4. Step 4: Simplify right side
    296,957.25x = 228,599,212,520.25
  5. Step 5: Solve for x
    x = 228,599,212,520.25/296,957.25
  6. Step 6: Final answer
    x = 769,805.12

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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.