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Finding the Third Proportional to 436,779 and 678,496.50

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Solution

The third proportional to 436,779 and 678,496.50 is: 1,053,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,779 : 678,496.50 = 678,496.50 : x
  2. Step 2: Convert to fraction form
    436,779/678,496.50 = 678,496.50/x
  3. Step 3: Cross multiply
    436,779x = 678,496.50 × 678,496.50
  4. Step 4: Simplify right side
    436,779x = 460,357,500,512.25
  5. Step 5: Solve for x
    x = 460,357,500,512.25/436,779
  6. Step 6: Final answer
    x = 1,053,982.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.