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Finding the Third Proportional to 219,568 and 473,008

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Solution

The third proportional to 219,568 and 473,008 is: 1,018,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,568 : 473,008 = 473,008 : x
  2. Step 2: Convert to fraction form
    219,568/473,008 = 473,008/x
  3. Step 3: Cross multiply
    219,568x = 473,008 × 473,008
  4. Step 4: Simplify right side
    219,568x = 223,736,568,064
  5. Step 5: Solve for x
    x = 223,736,568,064/219,568
  6. Step 6: Final answer
    x = 1,018,985.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.