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Finding the Third Proportional to 603,649 and 816,897.50

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Solution

The third proportional to 603,649 and 816,897.50 is: 1,105,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,649 : 816,897.50 = 816,897.50 : x
  2. Step 2: Convert to fraction form
    603,649/816,897.50 = 816,897.50/x
  3. Step 3: Cross multiply
    603,649x = 816,897.50 × 816,897.50
  4. Step 4: Simplify right side
    603,649x = 667,321,525,506.25
  5. Step 5: Solve for x
    x = 667,321,525,506.25/603,649
  6. Step 6: Final answer
    x = 1,105,479.39

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.