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Finding the Third Proportional to 333,159 and 515,310

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Solution

The third proportional to 333,159 and 515,310 is: 797,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,159 : 515,310 = 515,310 : x
  2. Step 2: Convert to fraction form
    333,159/515,310 = 515,310/x
  3. Step 3: Cross multiply
    333,159x = 515,310 × 515,310
  4. Step 4: Simplify right side
    333,159x = 265,544,396,100
  5. Step 5: Solve for x
    x = 265,544,396,100/333,159
  6. Step 6: Final answer
    x = 797,050.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.