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Finding the Third Proportional to 223,624.13 and 447,066

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Solution

The third proportional to 223,624.13 and 447,066 is: 893,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,624.13 : 447,066 = 447,066 : x
  2. Step 2: Convert to fraction form
    223,624.13/447,066 = 447,066/x
  3. Step 3: Cross multiply
    223,624.13x = 447,066 × 447,066
  4. Step 4: Simplify right side
    223,624.13x = 199,868,008,356
  5. Step 5: Solve for x
    x = 199,868,008,356/223,624.13
  6. Step 6: Final answer
    x = 893,767.65

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.