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Finding the Third Proportional to 431,579 and 653,366

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Solution

The third proportional to 431,579 and 653,366 is: 989,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,579 : 653,366 = 653,366 : x
  2. Step 2: Convert to fraction form
    431,579/653,366 = 653,366/x
  3. Step 3: Cross multiply
    431,579x = 653,366 × 653,366
  4. Step 4: Simplify right side
    431,579x = 426,887,129,956
  5. Step 5: Solve for x
    x = 426,887,129,956/431,579
  6. Step 6: Final answer
    x = 989,128.60

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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.