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Finding the Third Proportional to 577,208 and 786,324

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Solution

The third proportional to 577,208 and 786,324 is: 1,071,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,208 : 786,324 = 786,324 : x
  2. Step 2: Convert to fraction form
    577,208/786,324 = 786,324/x
  3. Step 3: Cross multiply
    577,208x = 786,324 × 786,324
  4. Step 4: Simplify right side
    577,208x = 618,305,432,976
  5. Step 5: Solve for x
    x = 618,305,432,976/577,208
  6. Step 6: Final answer
    x = 1,071,200.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.