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Finding the Third Proportional to 215,619 and 468,537

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Solution

The third proportional to 215,619 and 468,537 is: 1,018,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,619 : 468,537 = 468,537 : x
  2. Step 2: Convert to fraction form
    215,619/468,537 = 468,537/x
  3. Step 3: Cross multiply
    215,619x = 468,537 × 468,537
  4. Step 4: Simplify right side
    215,619x = 219,526,920,369
  5. Step 5: Solve for x
    x = 219,526,920,369/215,619
  6. Step 6: Final answer
    x = 1,018,124.19

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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.