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Finding the Third Proportional to 215,552 and 468,412

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Solution

The third proportional to 215,552 and 468,412 is: 1,017,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,552 : 468,412 = 468,412 : x
  2. Step 2: Convert to fraction form
    215,552/468,412 = 468,412/x
  3. Step 3: Cross multiply
    215,552x = 468,412 × 468,412
  4. Step 4: Simplify right side
    215,552x = 219,409,801,744
  5. Step 5: Solve for x
    x = 219,409,801,744/215,552
  6. Step 6: Final answer
    x = 1,017,897.31

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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.