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Finding the Third Proportional to 431,573 and 653,356

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Solution

The third proportional to 431,573 and 653,356 is: 989,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,573 : 653,356 = 653,356 : x
  2. Step 2: Convert to fraction form
    431,573/653,356 = 653,356/x
  3. Step 3: Cross multiply
    431,573x = 653,356 × 653,356
  4. Step 4: Simplify right side
    431,573x = 426,874,062,736
  5. Step 5: Solve for x
    x = 426,874,062,736/431,573
  6. Step 6: Final answer
    x = 989,112.07

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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.