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Finding the Third Proportional to 462,779 and 699,099.50

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Solution

The third proportional to 462,779 and 699,099.50 is: 1,056,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,779 : 699,099.50 = 699,099.50 : x
  2. Step 2: Convert to fraction form
    462,779/699,099.50 = 699,099.50/x
  3. Step 3: Cross multiply
    462,779x = 699,099.50 × 699,099.50
  4. Step 4: Simplify right side
    462,779x = 488,740,110,900.25
  5. Step 5: Solve for x
    x = 488,740,110,900.25/462,779
  6. Step 6: Final answer
    x = 1,056,098.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.