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Finding the Third Proportional to 561,696 and 848,592

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Solution

The third proportional to 561,696 and 848,592 is: 1,282,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,696 : 848,592 = 848,592 : x
  2. Step 2: Convert to fraction form
    561,696/848,592 = 848,592/x
  3. Step 3: Cross multiply
    561,696x = 848,592 × 848,592
  4. Step 4: Simplify right side
    561,696x = 720,108,382,464
  5. Step 5: Solve for x
    x = 720,108,382,464/561,696
  6. Step 6: Final answer
    x = 1,282,025.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.