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Finding the Third Proportional to 324,176 and 705,092

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Solution

The third proportional to 324,176 and 705,092 is: 1,533,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,176 : 705,092 = 705,092 : x
  2. Step 2: Convert to fraction form
    324,176/705,092 = 705,092/x
  3. Step 3: Cross multiply
    324,176x = 705,092 × 705,092
  4. Step 4: Simplify right side
    324,176x = 497,154,728,464
  5. Step 5: Solve for x
    x = 497,154,728,464/324,176
  6. Step 6: Final answer
    x = 1,533,595.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.