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Finding the Third Proportional to 354,766.50 and 788,265

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Solution

The third proportional to 354,766.50 and 788,265 is: 1,751,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,766.50 : 788,265 = 788,265 : x
  2. Step 2: Convert to fraction form
    354,766.50/788,265 = 788,265/x
  3. Step 3: Cross multiply
    354,766.50x = 788,265 × 788,265
  4. Step 4: Simplify right side
    354,766.50x = 621,361,710,225
  5. Step 5: Solve for x
    x = 621,361,710,225/354,766.50
  6. Step 6: Final answer
    x = 1,751,466.70

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.