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Finding the Third Proportional to 413,301 and 876,201

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Solution

The third proportional to 413,301 and 876,201 is: 1,857,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,301 : 876,201 = 876,201 : x
  2. Step 2: Convert to fraction form
    413,301/876,201 = 876,201/x
  3. Step 3: Cross multiply
    413,301x = 876,201 × 876,201
  4. Step 4: Simplify right side
    413,301x = 767,728,192,401
  5. Step 5: Solve for x
    x = 767,728,192,401/413,301
  6. Step 6: Final answer
    x = 1,857,552.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.