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Finding the Third Proportional to 202,461 and 483,549

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Solution

The third proportional to 202,461 and 483,549 is: 1,154,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,461 : 483,549 = 483,549 : x
  2. Step 2: Convert to fraction form
    202,461/483,549 = 483,549/x
  3. Step 3: Cross multiply
    202,461x = 483,549 × 483,549
  4. Step 4: Simplify right side
    202,461x = 233,819,635,401
  5. Step 5: Solve for x
    x = 233,819,635,401/202,461
  6. Step 6: Final answer
    x = 1,154,887.29

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.