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Finding the Third Proportional to 534,024.75 and 826,606.13

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Solution

The third proportional to 534,024.75 and 826,606.13 is: 1,279,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,024.75 : 826,606.13 = 826,606.13 : x
  2. Step 2: Convert to fraction form
    534,024.75/826,606.13 = 826,606.13/x
  3. Step 3: Cross multiply
    534,024.75x = 826,606.13 × 826,606.13
  4. Step 4: Simplify right side
    534,024.75x = 683,277,685,887.52
  5. Step 5: Solve for x
    x = 683,277,685,887.52/534,024.75
  6. Step 6: Final answer
    x = 1,279,486.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.