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Finding the Third Proportional to 573,816 and 885,412

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Solution

The third proportional to 573,816 and 885,412 is: 1,366,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,816 : 885,412 = 885,412 : x
  2. Step 2: Convert to fraction form
    573,816/885,412 = 885,412/x
  3. Step 3: Cross multiply
    573,816x = 885,412 × 885,412
  4. Step 4: Simplify right side
    573,816x = 783,954,409,744
  5. Step 5: Solve for x
    x = 783,954,409,744/573,816
  6. Step 6: Final answer
    x = 1,366,212.18

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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.