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Finding the Third Proportional to 342,785.25 and 742,771.69

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Solution

The third proportional to 342,785.25 and 742,771.69 is: 1,609,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,785.25 : 742,771.69 = 742,771.69 : x
  2. Step 2: Convert to fraction form
    342,785.25/742,771.69 = 742,771.69/x
  3. Step 3: Cross multiply
    342,785.25x = 742,771.69 × 742,771.69
  4. Step 4: Simplify right side
    342,785.25x = 551,709,779,751.60
  5. Step 5: Solve for x
    x = 551,709,779,751.60/342,785.25
  6. Step 6: Final answer
    x = 1,609,491.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.