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Finding the Third Proportional to 658,234.50 and 983,008

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Solution

The third proportional to 658,234.50 and 983,008 is: 1,468,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,234.50 : 983,008 = 983,008 : x
  2. Step 2: Convert to fraction form
    658,234.50/983,008 = 983,008/x
  3. Step 3: Cross multiply
    658,234.50x = 983,008 × 983,008
  4. Step 4: Simplify right side
    658,234.50x = 966,304,728,064
  5. Step 5: Solve for x
    x = 966,304,728,064/658,234.50
  6. Step 6: Final answer
    x = 1,468,025.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.