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Finding the Third Proportional to 605,625 and 940,420.50

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Solution

The third proportional to 605,625 and 940,420.50 is: 1,460,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,625 : 940,420.50 = 940,420.50 : x
  2. Step 2: Convert to fraction form
    605,625/940,420.50 = 940,420.50/x
  3. Step 3: Cross multiply
    605,625x = 940,420.50 × 940,420.50
  4. Step 4: Simplify right side
    605,625x = 884,390,716,820.25
  5. Step 5: Solve for x
    x = 884,390,716,820.25/605,625
  6. Step 6: Final answer
    x = 1,460,294.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.