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Finding the Third Proportional to 555,026 and 826,395

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Solution

The third proportional to 555,026 and 826,395 is: 1,230,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,026 : 826,395 = 826,395 : x
  2. Step 2: Convert to fraction form
    555,026/826,395 = 826,395/x
  3. Step 3: Cross multiply
    555,026x = 826,395 × 826,395
  4. Step 4: Simplify right side
    555,026x = 682,928,696,025
  5. Step 5: Solve for x
    x = 682,928,696,025/555,026
  6. Step 6: Final answer
    x = 1,230,444.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.