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Finding the Third Proportional to 499,380 and 782,543.25

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Solution

The third proportional to 499,380 and 782,543.25 is: 1,226,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,380 : 782,543.25 = 782,543.25 : x
  2. Step 2: Convert to fraction form
    499,380/782,543.25 = 782,543.25/x
  3. Step 3: Cross multiply
    499,380x = 782,543.25 × 782,543.25
  4. Step 4: Simplify right side
    499,380x = 612,373,938,120.56
  5. Step 5: Solve for x
    x = 612,373,938,120.56/499,380
  6. Step 6: Final answer
    x = 1,226,268.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.