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Finding the Third Proportional to 573,824 and 885,424

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Solution

The third proportional to 573,824 and 885,424 is: 1,366,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,824 : 885,424 = 885,424 : x
  2. Step 2: Convert to fraction form
    573,824/885,424 = 885,424/x
  3. Step 3: Cross multiply
    573,824x = 885,424 × 885,424
  4. Step 4: Simplify right side
    573,824x = 783,975,659,776
  5. Step 5: Solve for x
    x = 783,975,659,776/573,824
  6. Step 6: Final answer
    x = 1,366,230.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.