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Finding the Third Proportional to 333,019.50 and 502,525.50

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Solution

The third proportional to 333,019.50 and 502,525.50 is: 758,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,019.50 : 502,525.50 = 502,525.50 : x
  2. Step 2: Convert to fraction form
    333,019.50/502,525.50 = 502,525.50/x
  3. Step 3: Cross multiply
    333,019.50x = 502,525.50 × 502,525.50
  4. Step 4: Simplify right side
    333,019.50x = 252,531,878,150.25
  5. Step 5: Solve for x
    x = 252,531,878,150.25/333,019.50
  6. Step 6: Final answer
    x = 758,309.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.