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Finding the Third Proportional to 395,316 and 591,894

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Solution

The third proportional to 395,316 and 591,894 is: 886,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,316 : 591,894 = 591,894 : x
  2. Step 2: Convert to fraction form
    395,316/591,894 = 591,894/x
  3. Step 3: Cross multiply
    395,316x = 591,894 × 591,894
  4. Step 4: Simplify right side
    395,316x = 350,338,507,236
  5. Step 5: Solve for x
    x = 350,338,507,236/395,316
  6. Step 6: Final answer
    x = 886,223.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.