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Finding the Third Proportional to 333,285.75 and 717,148.13

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Solution

The third proportional to 333,285.75 and 717,148.13 is: 1,543,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,285.75 : 717,148.13 = 717,148.13 : x
  2. Step 2: Convert to fraction form
    333,285.75/717,148.13 = 717,148.13/x
  3. Step 3: Cross multiply
    333,285.75x = 717,148.13 × 717,148.13
  4. Step 4: Simplify right side
    333,285.75x = 514,301,433,191.02
  5. Step 5: Solve for x
    x = 514,301,433,191.02/333,285.75
  6. Step 6: Final answer
    x = 1,543,124.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.