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Finding the Third Proportional to 219,244 and 473,461

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Solution

The third proportional to 219,244 and 473,461 is: 1,022,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,244 : 473,461 = 473,461 : x
  2. Step 2: Convert to fraction form
    219,244/473,461 = 473,461/x
  3. Step 3: Cross multiply
    219,244x = 473,461 × 473,461
  4. Step 4: Simplify right side
    219,244x = 224,165,318,521
  5. Step 5: Solve for x
    x = 224,165,318,521/219,244
  6. Step 6: Final answer
    x = 1,022,446.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.