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Finding the Third Proportional to 420,866 and 567,039

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Solution

The third proportional to 420,866 and 567,039 is: 763,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,866 : 567,039 = 567,039 : x
  2. Step 2: Convert to fraction form
    420,866/567,039 = 567,039/x
  3. Step 3: Cross multiply
    420,866x = 567,039 × 567,039
  4. Step 4: Simplify right side
    420,866x = 321,533,227,521
  5. Step 5: Solve for x
    x = 321,533,227,521/420,866
  6. Step 6: Final answer
    x = 763,980.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.