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Finding the Third Proportional to 599,865 and 953,985

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Solution

The third proportional to 599,865 and 953,985 is: 1,517,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,865 : 953,985 = 953,985 : x
  2. Step 2: Convert to fraction form
    599,865/953,985 = 953,985/x
  3. Step 3: Cross multiply
    599,865x = 953,985 × 953,985
  4. Step 4: Simplify right side
    599,865x = 910,087,380,225
  5. Step 5: Solve for x
    x = 910,087,380,225/599,865
  6. Step 6: Final answer
    x = 1,517,153.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.