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Finding the Third Proportional to 351,924.75 and 478,132.88

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Solution

The third proportional to 351,924.75 and 478,132.88 is: 649,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,924.75 : 478,132.88 = 478,132.88 : x
  2. Step 2: Convert to fraction form
    351,924.75/478,132.88 = 478,132.88/x
  3. Step 3: Cross multiply
    351,924.75x = 478,132.88 × 478,132.88
  4. Step 4: Simplify right side
    351,924.75x = 228,611,046,155.77
  5. Step 5: Solve for x
    x = 228,611,046,155.77/351,924.75
  6. Step 6: Final answer
    x = 649,602.07

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.