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Finding the Third Proportional to 324,384.75 and 696,718.13

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Solution

The third proportional to 324,384.75 and 696,718.13 is: 1,496,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,384.75 : 696,718.13 = 696,718.13 : x
  2. Step 2: Convert to fraction form
    324,384.75/696,718.13 = 696,718.13/x
  3. Step 3: Cross multiply
    324,384.75x = 696,718.13 × 696,718.13
  4. Step 4: Simplify right side
    324,384.75x = 485,416,145,703.52
  5. Step 5: Solve for x
    x = 485,416,145,703.52/324,384.75
  6. Step 6: Final answer
    x = 1,496,420.98

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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.