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Finding the Third Proportional to 410,449 and 881,588

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Solution

The third proportional to 410,449 and 881,588 is: 1,893,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,449 : 881,588 = 881,588 : x
  2. Step 2: Convert to fraction form
    410,449/881,588 = 881,588/x
  3. Step 3: Cross multiply
    410,449x = 881,588 × 881,588
  4. Step 4: Simplify right side
    410,449x = 777,197,401,744
  5. Step 5: Solve for x
    x = 777,197,401,744/410,449
  6. Step 6: Final answer
    x = 1,893,529.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.