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Finding the Third Proportional to 324,511.31 and 710,099.16

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Solution

The third proportional to 324,511.31 and 710,099.16 is: 1,553,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,511.31 : 710,099.16 = 710,099.16 : x
  2. Step 2: Convert to fraction form
    324,511.31/710,099.16 = 710,099.16/x
  3. Step 3: Cross multiply
    324,511.31x = 710,099.16 × 710,099.16
  4. Step 4: Simplify right side
    324,511.31x = 504,240,811,706.96
  5. Step 5: Solve for x
    x = 504,240,811,706.96/324,511.31
  6. Step 6: Final answer
    x = 1,553,846.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.