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Finding the Third Proportional to 290,866 and 426,723

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Solution

The third proportional to 290,866 and 426,723 is: 626,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,866 : 426,723 = 426,723 : x
  2. Step 2: Convert to fraction form
    290,866/426,723 = 426,723/x
  3. Step 3: Cross multiply
    290,866x = 426,723 × 426,723
  4. Step 4: Simplify right side
    290,866x = 182,092,518,729
  5. Step 5: Solve for x
    x = 182,092,518,729/290,866
  6. Step 6: Final answer
    x = 626,035.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.