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Finding the Third Proportional to 411,322 and 621,357

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Solution

The third proportional to 411,322 and 621,357 is: 938,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,322 : 621,357 = 621,357 : x
  2. Step 2: Convert to fraction form
    411,322/621,357 = 621,357/x
  3. Step 3: Cross multiply
    411,322x = 621,357 × 621,357
  4. Step 4: Simplify right side
    411,322x = 386,084,521,449
  5. Step 5: Solve for x
    x = 386,084,521,449/411,322
  6. Step 6: Final answer
    x = 938,643.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.