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Finding the Third Proportional to 605,983.50 and 897,264

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Solution

The third proportional to 605,983.50 and 897,264 is: 1,328,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,983.50 : 897,264 = 897,264 : x
  2. Step 2: Convert to fraction form
    605,983.50/897,264 = 897,264/x
  3. Step 3: Cross multiply
    605,983.50x = 897,264 × 897,264
  4. Step 4: Simplify right side
    605,983.50x = 805,082,685,696
  5. Step 5: Solve for x
    x = 805,082,685,696/605,983.50
  6. Step 6: Final answer
    x = 1,328,555.46

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.