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Finding the Third Proportional to 351,804 and 545,082

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Solution

The third proportional to 351,804 and 545,082 is: 844,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,804 : 545,082 = 545,082 : x
  2. Step 2: Convert to fraction form
    351,804/545,082 = 545,082/x
  3. Step 3: Cross multiply
    351,804x = 545,082 × 545,082
  4. Step 4: Simplify right side
    351,804x = 297,114,386,724
  5. Step 5: Solve for x
    x = 297,114,386,724/351,804
  6. Step 6: Final answer
    x = 844,545.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.