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Finding the Third Proportional to 400,068 and 598,968

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Solution

The third proportional to 400,068 and 598,968 is: 896,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,068 : 598,968 = 598,968 : x
  2. Step 2: Convert to fraction form
    400,068/598,968 = 598,968/x
  3. Step 3: Cross multiply
    400,068x = 598,968 × 598,968
  4. Step 4: Simplify right side
    400,068x = 358,762,665,024
  5. Step 5: Solve for x
    x = 358,762,665,024/400,068
  6. Step 6: Final answer
    x = 896,754.21

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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.