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Finding the Third Proportional to 523,878.19 and 800,852.91

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Solution

The third proportional to 523,878.19 and 800,852.91 is: 1,224,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,878.19 : 800,852.91 = 800,852.91 : x
  2. Step 2: Convert to fraction form
    523,878.19/800,852.91 = 800,852.91/x
  3. Step 3: Cross multiply
    523,878.19x = 800,852.91 × 800,852.91
  4. Step 4: Simplify right side
    523,878.19x = 641,365,377,449.07
  5. Step 5: Solve for x
    x = 641,365,377,449.07/523,878.19
  6. Step 6: Final answer
    x = 1,224,264.33

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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.