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Finding the Third Proportional to 284,222.25 and 607,826.25

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Solution

The third proportional to 284,222.25 and 607,826.25 is: 1,299,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,222.25 : 607,826.25 = 607,826.25 : x
  2. Step 2: Convert to fraction form
    284,222.25/607,826.25 = 607,826.25/x
  3. Step 3: Cross multiply
    284,222.25x = 607,826.25 × 607,826.25
  4. Step 4: Simplify right side
    284,222.25x = 369,452,750,189.06
  5. Step 5: Solve for x
    x = 369,452,750,189.06/284,222.25
  6. Step 6: Final answer
    x = 1,299,872.72

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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.