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Finding the Third Proportional to 412,493.50 and 656,365

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Solution

The third proportional to 412,493.50 and 656,365 is: 1,044,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,493.50 : 656,365 = 656,365 : x
  2. Step 2: Convert to fraction form
    412,493.50/656,365 = 656,365/x
  3. Step 3: Cross multiply
    412,493.50x = 656,365 × 656,365
  4. Step 4: Simplify right side
    412,493.50x = 430,815,013,225
  5. Step 5: Solve for x
    x = 430,815,013,225/412,493.50
  6. Step 6: Final answer
    x = 1,044,416.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.