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Finding the Third Proportional to 349,868 and 734,985

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Solution

The third proportional to 349,868 and 734,985 is: 1,544,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,868 : 734,985 = 734,985 : x
  2. Step 2: Convert to fraction form
    349,868/734,985 = 734,985/x
  3. Step 3: Cross multiply
    349,868x = 734,985 × 734,985
  4. Step 4: Simplify right side
    349,868x = 540,202,950,225
  5. Step 5: Solve for x
    x = 540,202,950,225/349,868
  6. Step 6: Final answer
    x = 1,544,019.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.