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Finding the Third Proportional to 349,072 and 530,088

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Solution

The third proportional to 349,072 and 530,088 is: 804,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,072 : 530,088 = 530,088 : x
  2. Step 2: Convert to fraction form
    349,072/530,088 = 530,088/x
  3. Step 3: Cross multiply
    349,072x = 530,088 × 530,088
  4. Step 4: Simplify right side
    349,072x = 280,993,287,744
  5. Step 5: Solve for x
    x = 280,993,287,744/349,072
  6. Step 6: Final answer
    x = 804,972.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.