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Finding the Third Proportional to 431,569 and 653,351

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Solution

The third proportional to 431,569 and 653,351 is: 989,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569 : 653,351 = 653,351 : x
  2. Step 2: Convert to fraction form
    431,569/653,351 = 653,351/x
  3. Step 3: Cross multiply
    431,569x = 653,351 × 653,351
  4. Step 4: Simplify right side
    431,569x = 426,867,529,201
  5. Step 5: Solve for x
    x = 426,867,529,201/431,569
  6. Step 6: Final answer
    x = 989,106.10

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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.