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Finding the Third Proportional to 342,291 and 763,287.50

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Solution

The third proportional to 342,291 and 763,287.50 is: 1,702,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,291 : 763,287.50 = 763,287.50 : x
  2. Step 2: Convert to fraction form
    342,291/763,287.50 = 763,287.50/x
  3. Step 3: Cross multiply
    342,291x = 763,287.50 × 763,287.50
  4. Step 4: Simplify right side
    342,291x = 582,607,807,656.25
  5. Step 5: Solve for x
    x = 582,607,807,656.25/342,291
  6. Step 6: Final answer
    x = 1,702,083.34

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.