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Finding the Third Proportional to 393,924 and 611,119.50

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Solution

The third proportional to 393,924 and 611,119.50 is: 948,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,924 : 611,119.50 = 611,119.50 : x
  2. Step 2: Convert to fraction form
    393,924/611,119.50 = 611,119.50/x
  3. Step 3: Cross multiply
    393,924x = 611,119.50 × 611,119.50
  4. Step 4: Simplify right side
    393,924x = 373,467,043,280.25
  5. Step 5: Solve for x
    x = 373,467,043,280.25/393,924
  6. Step 6: Final answer
    x = 948,068.77

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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.