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Finding the Third Proportional to 215,484 and 470,136

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Solution

The third proportional to 215,484 and 470,136 is: 1,025,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,484 : 470,136 = 470,136 : x
  2. Step 2: Convert to fraction form
    215,484/470,136 = 470,136/x
  3. Step 3: Cross multiply
    215,484x = 470,136 × 470,136
  4. Step 4: Simplify right side
    215,484x = 221,027,858,496
  5. Step 5: Solve for x
    x = 221,027,858,496/215,484
  6. Step 6: Final answer
    x = 1,025,727.47

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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.