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Finding the Third Proportional to 431,579.81 and 653,366.25

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Solution

The third proportional to 431,579.81 and 653,366.25 is: 989,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,579.81 : 653,366.25 = 653,366.25 : x
  2. Step 2: Convert to fraction form
    431,579.81/653,366.25 = 653,366.25/x
  3. Step 3: Cross multiply
    431,579.81x = 653,366.25 × 653,366.25
  4. Step 4: Simplify right side
    431,579.81x = 426,887,456,639.06
  5. Step 5: Solve for x
    x = 426,887,456,639.06/431,579.81
  6. Step 6: Final answer
    x = 989,127.49

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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.