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Finding the Third Proportional to 394,087 and 611,461

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Solution

The third proportional to 394,087 and 611,461 is: 948,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,087 : 611,461 = 611,461 : x
  2. Step 2: Convert to fraction form
    394,087/611,461 = 611,461/x
  3. Step 3: Cross multiply
    394,087x = 611,461 × 611,461
  4. Step 4: Simplify right side
    394,087x = 373,884,554,521
  5. Step 5: Solve for x
    x = 373,884,554,521/394,087
  6. Step 6: Final answer
    x = 948,736.08

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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.