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Finding the Third Proportional to 574,553.25 and 869,828.63

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Solution

The third proportional to 574,553.25 and 869,828.63 is: 1,316,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,553.25 : 869,828.63 = 869,828.63 : x
  2. Step 2: Convert to fraction form
    574,553.25/869,828.63 = 869,828.63/x
  3. Step 3: Cross multiply
    574,553.25x = 869,828.63 × 869,828.63
  4. Step 4: Simplify right side
    574,553.25x = 756,601,836,869.39
  5. Step 5: Solve for x
    x = 756,601,836,869.39/574,553.25
  6. Step 6: Final answer
    x = 1,316,852.42

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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.