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Finding the Third Proportional to 399,091 and 598,052

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Solution

The third proportional to 399,091 and 598,052 is: 896,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,091 : 598,052 = 598,052 : x
  2. Step 2: Convert to fraction form
    399,091/598,052 = 598,052/x
  3. Step 3: Cross multiply
    399,091x = 598,052 × 598,052
  4. Step 4: Simplify right side
    399,091x = 357,666,194,704
  5. Step 5: Solve for x
    x = 357,666,194,704/399,091
  6. Step 6: Final answer
    x = 896,202.11

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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.