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Finding the Third Proportional to 333,357.75 and 529,562.25

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Solution

The third proportional to 333,357.75 and 529,562.25 is: 841,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,357.75 : 529,562.25 = 529,562.25 : x
  2. Step 2: Convert to fraction form
    333,357.75/529,562.25 = 529,562.25/x
  3. Step 3: Cross multiply
    333,357.75x = 529,562.25 × 529,562.25
  4. Step 4: Simplify right side
    333,357.75x = 280,436,176,625.06
  5. Step 5: Solve for x
    x = 280,436,176,625.06/333,357.75
  6. Step 6: Final answer
    x = 841,246.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.