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Finding the Third Proportional to 215,529 and 468,365

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Solution

The third proportional to 215,529 and 468,365 is: 1,017,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,529 : 468,365 = 468,365 : x
  2. Step 2: Convert to fraction form
    215,529/468,365 = 468,365/x
  3. Step 3: Cross multiply
    215,529x = 468,365 × 468,365
  4. Step 4: Simplify right side
    215,529x = 219,365,773,225
  5. Step 5: Solve for x
    x = 219,365,773,225/215,529
  6. Step 6: Final answer
    x = 1,017,801.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.