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Finding the Third Proportional to 467,365.50 and 668,340

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Solution

The third proportional to 467,365.50 and 668,340 is: 955,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,365.50 : 668,340 = 668,340 : x
  2. Step 2: Convert to fraction form
    467,365.50/668,340 = 668,340/x
  3. Step 3: Cross multiply
    467,365.50x = 668,340 × 668,340
  4. Step 4: Simplify right side
    467,365.50x = 446,678,355,600
  5. Step 5: Solve for x
    x = 446,678,355,600/467,365.50
  6. Step 6: Final answer
    x = 955,736.69

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.