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Finding the Third Proportional to 341,710 and 543,082

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Solution

The third proportional to 341,710 and 543,082 is: 863,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,710 : 543,082 = 543,082 : x
  2. Step 2: Convert to fraction form
    341,710/543,082 = 543,082/x
  3. Step 3: Cross multiply
    341,710x = 543,082 × 543,082
  4. Step 4: Simplify right side
    341,710x = 294,938,058,724
  5. Step 5: Solve for x
    x = 294,938,058,724/341,710
  6. Step 6: Final answer
    x = 863,123.87

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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.