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Finding the Third Proportional to 356,103 and 758,538

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Solution

The third proportional to 356,103 and 758,538 is: 1,615,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,103 : 758,538 = 758,538 : x
  2. Step 2: Convert to fraction form
    356,103/758,538 = 758,538/x
  3. Step 3: Cross multiply
    356,103x = 758,538 × 758,538
  4. Step 4: Simplify right side
    356,103x = 575,379,897,444
  5. Step 5: Solve for x
    x = 575,379,897,444/356,103
  6. Step 6: Final answer
    x = 1,615,768.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.