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Finding the Third Proportional to 364,096 and 569,924

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Solution

The third proportional to 364,096 and 569,924 is: 892,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,096 : 569,924 = 569,924 : x
  2. Step 2: Convert to fraction form
    364,096/569,924 = 569,924/x
  3. Step 3: Cross multiply
    364,096x = 569,924 × 569,924
  4. Step 4: Simplify right side
    364,096x = 324,813,365,776
  5. Step 5: Solve for x
    x = 324,813,365,776/364,096
  6. Step 6: Final answer
    x = 892,109.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.