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Finding the Third Proportional to 223,542 and 435,879

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Solution

The third proportional to 223,542 and 435,879 is: 849,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,542 : 435,879 = 435,879 : x
  2. Step 2: Convert to fraction form
    223,542/435,879 = 435,879/x
  3. Step 3: Cross multiply
    223,542x = 435,879 × 435,879
  4. Step 4: Simplify right side
    223,542x = 189,990,502,641
  5. Step 5: Solve for x
    x = 189,990,502,641/223,542
  6. Step 6: Final answer
    x = 849,909.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.