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Finding the Third Proportional to 243,039 and 501,593

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Solution

The third proportional to 243,039 and 501,593 is: 1,035,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,039 : 501,593 = 501,593 : x
  2. Step 2: Convert to fraction form
    243,039/501,593 = 501,593/x
  3. Step 3: Cross multiply
    243,039x = 501,593 × 501,593
  4. Step 4: Simplify right side
    243,039x = 251,595,537,649
  5. Step 5: Solve for x
    x = 251,595,537,649/243,039
  6. Step 6: Final answer
    x = 1,035,206.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.