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Finding the Third Proportional to 484,490.25 and 743,683.50

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Solution

The third proportional to 484,490.25 and 743,683.50 is: 1,141,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,490.25 : 743,683.50 = 743,683.50 : x
  2. Step 2: Convert to fraction form
    484,490.25/743,683.50 = 743,683.50/x
  3. Step 3: Cross multiply
    484,490.25x = 743,683.50 × 743,683.50
  4. Step 4: Simplify right side
    484,490.25x = 553,065,148,172.25
  5. Step 5: Solve for x
    x = 553,065,148,172.25/484,490.25
  6. Step 6: Final answer
    x = 1,141,540.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.