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Finding the Third Proportional to 535,256 and 782,788

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Solution

The third proportional to 535,256 and 782,788 is: 1,144,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,256 : 782,788 = 782,788 : x
  2. Step 2: Convert to fraction form
    535,256/782,788 = 782,788/x
  3. Step 3: Cross multiply
    535,256x = 782,788 × 782,788
  4. Step 4: Simplify right side
    535,256x = 612,757,052,944
  5. Step 5: Solve for x
    x = 612,757,052,944/535,256
  6. Step 6: Final answer
    x = 1,144,792.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.