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Finding the Third Proportional to 216,440 and 474,392

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Solution

The third proportional to 216,440 and 474,392 is: 1,039,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,440 : 474,392 = 474,392 : x
  2. Step 2: Convert to fraction form
    216,440/474,392 = 474,392/x
  3. Step 3: Cross multiply
    216,440x = 474,392 × 474,392
  4. Step 4: Simplify right side
    216,440x = 225,047,769,664
  5. Step 5: Solve for x
    x = 225,047,769,664/216,440
  6. Step 6: Final answer
    x = 1,039,769.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.