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Finding the Third Proportional to 523,752 and 800,843

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Solution

The third proportional to 523,752 and 800,843 is: 1,224,529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,752 : 800,843 = 800,843 : x
  2. Step 2: Convert to fraction form
    523,752/800,843 = 800,843/x
  3. Step 3: Cross multiply
    523,752x = 800,843 × 800,843
  4. Step 4: Simplify right side
    523,752x = 641,349,510,649
  5. Step 5: Solve for x
    x = 641,349,510,649/523,752
  6. Step 6: Final answer
    x = 1,224,529.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.