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Finding the Third Proportional to 610,433.50 and 898,002

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Solution

The third proportional to 610,433.50 and 898,002 is: 1,321,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,433.50 : 898,002 = 898,002 : x
  2. Step 2: Convert to fraction form
    610,433.50/898,002 = 898,002/x
  3. Step 3: Cross multiply
    610,433.50x = 898,002 × 898,002
  4. Step 4: Simplify right side
    610,433.50x = 806,407,592,004
  5. Step 5: Solve for x
    x = 806,407,592,004/610,433.50
  6. Step 6: Final answer
    x = 1,321,040.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.