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Finding the Third Proportional to 413,244.25 and 626,104

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Solution

The third proportional to 413,244.25 and 626,104 is: 948,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,244.25 : 626,104 = 626,104 : x
  2. Step 2: Convert to fraction form
    413,244.25/626,104 = 626,104/x
  3. Step 3: Cross multiply
    413,244.25x = 626,104 × 626,104
  4. Step 4: Simplify right side
    413,244.25x = 392,006,218,816
  5. Step 5: Solve for x
    x = 392,006,218,816/413,244.25
  6. Step 6: Final answer
    x = 948,606.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.