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Finding the Third Proportional to 583,204 and 745,206

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Solution

The third proportional to 583,204 and 745,206 is: 952,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,204 : 745,206 = 745,206 : x
  2. Step 2: Convert to fraction form
    583,204/745,206 = 745,206/x
  3. Step 3: Cross multiply
    583,204x = 745,206 × 745,206
  4. Step 4: Simplify right side
    583,204x = 555,331,982,436
  5. Step 5: Solve for x
    x = 555,331,982,436/583,204
  6. Step 6: Final answer
    x = 952,208.80

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.