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Finding the Third Proportional to 409,232 and 631,344

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Solution

The third proportional to 409,232 and 631,344 is: 974,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,232 : 631,344 = 631,344 : x
  2. Step 2: Convert to fraction form
    409,232/631,344 = 631,344/x
  3. Step 3: Cross multiply
    409,232x = 631,344 × 631,344
  4. Step 4: Simplify right side
    409,232x = 398,595,246,336
  5. Step 5: Solve for x
    x = 398,595,246,336/409,232
  6. Step 6: Final answer
    x = 974,008.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.