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Finding the Third Proportional to 461,416.50 and 698,274

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Solution

The third proportional to 461,416.50 and 698,274 is: 1,056,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,416.50 : 698,274 = 698,274 : x
  2. Step 2: Convert to fraction form
    461,416.50/698,274 = 698,274/x
  3. Step 3: Cross multiply
    461,416.50x = 698,274 × 698,274
  4. Step 4: Simplify right side
    461,416.50x = 487,586,579,076
  5. Step 5: Solve for x
    x = 487,586,579,076/461,416.50
  6. Step 6: Final answer
    x = 1,056,716.83

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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.