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Finding the Third Proportional to 641,682 and 734,994

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Solution

The third proportional to 641,682 and 734,994 is: 841,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,682 : 734,994 = 734,994 : x
  2. Step 2: Convert to fraction form
    641,682/734,994 = 734,994/x
  3. Step 3: Cross multiply
    641,682x = 734,994 × 734,994
  4. Step 4: Simplify right side
    641,682x = 540,216,180,036
  5. Step 5: Solve for x
    x = 540,216,180,036/641,682
  6. Step 6: Final answer
    x = 841,875.23

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.