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Finding the Third Proportional to 534,202 and 826,051

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Solution

The third proportional to 534,202 and 826,051 is: 1,277,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,202 : 826,051 = 826,051 : x
  2. Step 2: Convert to fraction form
    534,202/826,051 = 826,051/x
  3. Step 3: Cross multiply
    534,202x = 826,051 × 826,051
  4. Step 4: Simplify right side
    534,202x = 682,360,254,601
  5. Step 5: Solve for x
    x = 682,360,254,601/534,202
  6. Step 6: Final answer
    x = 1,277,345.00

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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.