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Finding the Third Proportional to 223,444 and 435,668

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Solution

The third proportional to 223,444 and 435,668 is: 849,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,444 : 435,668 = 435,668 : x
  2. Step 2: Convert to fraction form
    223,444/435,668 = 435,668/x
  3. Step 3: Cross multiply
    223,444x = 435,668 × 435,668
  4. Step 4: Simplify right side
    223,444x = 189,806,606,224
  5. Step 5: Solve for x
    x = 189,806,606,224/223,444
  6. Step 6: Final answer
    x = 849,459.40

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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.