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Finding the Third Proportional to 677,687 and 903,458.50

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Solution

The third proportional to 677,687 and 903,458.50 is: 1,204,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,687 : 903,458.50 = 903,458.50 : x
  2. Step 2: Convert to fraction form
    677,687/903,458.50 = 903,458.50/x
  3. Step 3: Cross multiply
    677,687x = 903,458.50 × 903,458.50
  4. Step 4: Simplify right side
    677,687x = 816,237,261,222.25
  5. Step 5: Solve for x
    x = 816,237,261,222.25/677,687
  6. Step 6: Final answer
    x = 1,204,445.80

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.