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Finding the Third Proportional to 555,014 and 826,377

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Solution

The third proportional to 555,014 and 826,377 is: 1,230,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,014 : 826,377 = 826,377 : x
  2. Step 2: Convert to fraction form
    555,014/826,377 = 826,377/x
  3. Step 3: Cross multiply
    555,014x = 826,377 × 826,377
  4. Step 4: Simplify right side
    555,014x = 682,898,946,129
  5. Step 5: Solve for x
    x = 682,898,946,129/555,014
  6. Step 6: Final answer
    x = 1,230,417.51

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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.