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Finding the Third Proportional to 512,673.75 and 749,144.25

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Solution

The third proportional to 512,673.75 and 749,144.25 is: 1,094,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,673.75 : 749,144.25 = 749,144.25 : x
  2. Step 2: Convert to fraction form
    512,673.75/749,144.25 = 749,144.25/x
  3. Step 3: Cross multiply
    512,673.75x = 749,144.25 × 749,144.25
  4. Step 4: Simplify right side
    512,673.75x = 561,217,107,308.06
  5. Step 5: Solve for x
    x = 561,217,107,308.06/512,673.75
  6. Step 6: Final answer
    x = 1,094,686.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.