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Finding the Third Proportional to 515,151 and 788,103

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Solution

The third proportional to 515,151 and 788,103 is: 1,205,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,151 : 788,103 = 788,103 : x
  2. Step 2: Convert to fraction form
    515,151/788,103 = 788,103/x
  3. Step 3: Cross multiply
    515,151x = 788,103 × 788,103
  4. Step 4: Simplify right side
    515,151x = 621,106,338,609
  5. Step 5: Solve for x
    x = 621,106,338,609/515,151
  6. Step 6: Final answer
    x = 1,205,678.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.