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Finding the Third Proportional to 223,702 and 473,314

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Solution

The third proportional to 223,702 and 473,314 is: 1,001,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,702 : 473,314 = 473,314 : x
  2. Step 2: Convert to fraction form
    223,702/473,314 = 473,314/x
  3. Step 3: Cross multiply
    223,702x = 473,314 × 473,314
  4. Step 4: Simplify right side
    223,702x = 224,026,142,596
  5. Step 5: Solve for x
    x = 224,026,142,596/223,702
  6. Step 6: Final answer
    x = 1,001,448.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.