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Finding the Third Proportional to 698,766.75 and 983,755.13

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Solution

The third proportional to 698,766.75 and 983,755.13 is: 1,384,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,766.75 : 983,755.13 = 983,755.13 : x
  2. Step 2: Convert to fraction form
    698,766.75/983,755.13 = 983,755.13/x
  3. Step 3: Cross multiply
    698,766.75x = 983,755.13 × 983,755.13
  4. Step 4: Simplify right side
    698,766.75x = 967,774,145,963.77
  5. Step 5: Solve for x
    x = 967,774,145,963.77/698,766.75
  6. Step 6: Final answer
    x = 1,384,974.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.