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Finding the Third Proportional to 333,153 and 515,301.75

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Solution

The third proportional to 333,153 and 515,301.75 is: 797,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,153 : 515,301.75 = 515,301.75 : x
  2. Step 2: Convert to fraction form
    333,153/515,301.75 = 515,301.75/x
  3. Step 3: Cross multiply
    333,153x = 515,301.75 × 515,301.75
  4. Step 4: Simplify right side
    333,153x = 265,535,893,553.06
  5. Step 5: Solve for x
    x = 265,535,893,553.06/333,153
  6. Step 6: Final answer
    x = 797,038.88

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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.