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Finding the Third Proportional to 625,776 and 896,736

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Solution

The third proportional to 625,776 and 896,736 is: 1,285,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,776 : 896,736 = 896,736 : x
  2. Step 2: Convert to fraction form
    625,776/896,736 = 896,736/x
  3. Step 3: Cross multiply
    625,776x = 896,736 × 896,736
  4. Step 4: Simplify right side
    625,776x = 804,135,453,696
  5. Step 5: Solve for x
    x = 804,135,453,696/625,776
  6. Step 6: Final answer
    x = 1,285,021.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.