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Finding the Third Proportional to 555,010 and 826,371

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Solution

The third proportional to 555,010 and 826,371 is: 1,230,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,010 : 826,371 = 826,371 : x
  2. Step 2: Convert to fraction form
    555,010/826,371 = 826,371/x
  3. Step 3: Cross multiply
    555,010x = 826,371 × 826,371
  4. Step 4: Simplify right side
    555,010x = 682,889,029,641
  5. Step 5: Solve for x
    x = 682,889,029,641/555,010
  6. Step 6: Final answer
    x = 1,230,408.51

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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.