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Finding the Third Proportional to 273,864 and 597,549

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Solution

The third proportional to 273,864 and 597,549 is: 1,303,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,864 : 597,549 = 597,549 : x
  2. Step 2: Convert to fraction form
    273,864/597,549 = 597,549/x
  3. Step 3: Cross multiply
    273,864x = 597,549 × 597,549
  4. Step 4: Simplify right side
    273,864x = 357,064,807,401
  5. Step 5: Solve for x
    x = 357,064,807,401/273,864
  6. Step 6: Final answer
    x = 1,303,803.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.