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Finding the Third Proportional to 342,281.25 and 742,515.75

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Solution

The third proportional to 342,281.25 and 742,515.75 is: 1,610,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,281.25 : 742,515.75 = 742,515.75 : x
  2. Step 2: Convert to fraction form
    342,281.25/742,515.75 = 742,515.75/x
  3. Step 3: Cross multiply
    342,281.25x = 742,515.75 × 742,515.75
  4. Step 4: Simplify right side
    342,281.25x = 551,329,638,998.06
  5. Step 5: Solve for x
    x = 551,329,638,998.06/342,281.25
  6. Step 6: Final answer
    x = 1,610,750.34

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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.