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Finding the Third Proportional to 342,056.25 and 791,779.50

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Solution

The third proportional to 342,056.25 and 791,779.50 is: 1,832,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,056.25 : 791,779.50 = 791,779.50 : x
  2. Step 2: Convert to fraction form
    342,056.25/791,779.50 = 791,779.50/x
  3. Step 3: Cross multiply
    342,056.25x = 791,779.50 × 791,779.50
  4. Step 4: Simplify right side
    342,056.25x = 626,914,776,620.25
  5. Step 5: Solve for x
    x = 626,914,776,620.25/342,056.25
  6. Step 6: Final answer
    x = 1,832,782.70

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.