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Finding the Third Proportional to 561,210.19 and 855,829.13

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Solution

The third proportional to 561,210.19 and 855,829.13 is: 1,305,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,210.19 : 855,829.13 = 855,829.13 : x
  2. Step 2: Convert to fraction form
    561,210.19/855,829.13 = 855,829.13/x
  3. Step 3: Cross multiply
    561,210.19x = 855,829.13 × 855,829.13
  4. Step 4: Simplify right side
    561,210.19x = 732,443,491,198.27
  5. Step 5: Solve for x
    x = 732,443,491,198.27/561,210.19
  6. Step 6: Final answer
    x = 1,305,114.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.