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Finding the Third Proportional to 406,593 and 543,368.25

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Solution

The third proportional to 406,593 and 543,368.25 is: 726,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,593 : 543,368.25 = 543,368.25 : x
  2. Step 2: Convert to fraction form
    406,593/543,368.25 = 543,368.25/x
  3. Step 3: Cross multiply
    406,593x = 543,368.25 × 543,368.25
  4. Step 4: Simplify right side
    406,593x = 295,249,055,108.06
  5. Step 5: Solve for x
    x = 295,249,055,108.06/406,593
  6. Step 6: Final answer
    x = 726,153.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.