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Finding the Third Proportional to 284,212.13 and 607,805.44

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Solution

The third proportional to 284,212.13 and 607,805.44 is: 1,299,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,212.13 : 607,805.44 = 607,805.44 : x
  2. Step 2: Convert to fraction form
    284,212.13/607,805.44 = 607,805.44/x
  3. Step 3: Cross multiply
    284,212.13x = 607,805.44 × 607,805.44
  4. Step 4: Simplify right side
    284,212.13x = 369,427,449,854.57
  5. Step 5: Solve for x
    x = 369,427,449,854.57/284,212.13
  6. Step 6: Final answer
    x = 1,299,830.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.