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Finding the Third Proportional to 461,398.50 and 698,247

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Solution

The third proportional to 461,398.50 and 698,247 is: 1,056,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,398.50 : 698,247 = 698,247 : x
  2. Step 2: Convert to fraction form
    461,398.50/698,247 = 698,247/x
  3. Step 3: Cross multiply
    461,398.50x = 698,247 × 698,247
  4. Step 4: Simplify right side
    461,398.50x = 487,548,873,009
  5. Step 5: Solve for x
    x = 487,548,873,009/461,398.50
  6. Step 6: Final answer
    x = 1,056,676.33

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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.