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Finding the Third Proportional to 219,254 and 473,482

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Solution

The third proportional to 219,254 and 473,482 is: 1,022,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,254 : 473,482 = 473,482 : x
  2. Step 2: Convert to fraction form
    219,254/473,482 = 473,482/x
  3. Step 3: Cross multiply
    219,254x = 473,482 × 473,482
  4. Step 4: Simplify right side
    219,254x = 224,185,204,324
  5. Step 5: Solve for x
    x = 224,185,204,324/219,254
  6. Step 6: Final answer
    x = 1,022,490.83

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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.