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Finding the Third Proportional to 331,992 and 712,363.50

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Solution

The third proportional to 331,992 and 712,363.50 is: 1,528,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,992 : 712,363.50 = 712,363.50 : x
  2. Step 2: Convert to fraction form
    331,992/712,363.50 = 712,363.50/x
  3. Step 3: Cross multiply
    331,992x = 712,363.50 × 712,363.50
  4. Step 4: Simplify right side
    331,992x = 507,461,756,132.25
  5. Step 5: Solve for x
    x = 507,461,756,132.25/331,992
  6. Step 6: Final answer
    x = 1,528,536.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.