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Finding the Third Proportional to 576,453 and 821,168

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Solution

The third proportional to 576,453 and 821,168 is: 1,169,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,453 : 821,168 = 821,168 : x
  2. Step 2: Convert to fraction form
    576,453/821,168 = 821,168/x
  3. Step 3: Cross multiply
    576,453x = 821,168 × 821,168
  4. Step 4: Simplify right side
    576,453x = 674,316,884,224
  5. Step 5: Solve for x
    x = 674,316,884,224/576,453
  6. Step 6: Final answer
    x = 1,169,769.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.