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Finding the Third Proportional to 273,641 and 409,363

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Solution

The third proportional to 273,641 and 409,363 is: 612,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,641 : 409,363 = 409,363 : x
  2. Step 2: Convert to fraction form
    273,641/409,363 = 409,363/x
  3. Step 3: Cross multiply
    273,641x = 409,363 × 409,363
  4. Step 4: Simplify right side
    273,641x = 167,578,065,769
  5. Step 5: Solve for x
    x = 167,578,065,769/273,641
  6. Step 6: Final answer
    x = 612,401.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.