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Finding the Third Proportional to 561,579.75 and 849,538.13

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Solution

The third proportional to 561,579.75 and 849,538.13 is: 1,285,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,579.75 : 849,538.13 = 849,538.13 : x
  2. Step 2: Convert to fraction form
    561,579.75/849,538.13 = 849,538.13/x
  3. Step 3: Cross multiply
    561,579.75x = 849,538.13 × 849,538.13
  4. Step 4: Simplify right side
    561,579.75x = 721,715,025,828.52
  5. Step 5: Solve for x
    x = 721,715,025,828.52/561,579.75
  6. Step 6: Final answer
    x = 1,285,151.44

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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.