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Finding the Third Proportional to 545,818.50 and 837,793.13

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Solution

The third proportional to 545,818.50 and 837,793.13 is: 1,285,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,818.50 : 837,793.13 = 837,793.13 : x
  2. Step 2: Convert to fraction form
    545,818.50/837,793.13 = 837,793.13/x
  3. Step 3: Cross multiply
    545,818.50x = 837,793.13 × 837,793.13
  4. Step 4: Simplify right side
    545,818.50x = 701,897,320,297.27
  5. Step 5: Solve for x
    x = 701,897,320,297.27/545,818.50
  6. Step 6: Final answer
    x = 1,285,953.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.