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Finding the Third Proportional to 283,571 and 623,050

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Solution

The third proportional to 283,571 and 623,050 is: 1,368,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,571 : 623,050 = 623,050 : x
  2. Step 2: Convert to fraction form
    283,571/623,050 = 623,050/x
  3. Step 3: Cross multiply
    283,571x = 623,050 × 623,050
  4. Step 4: Simplify right side
    283,571x = 388,191,302,500
  5. Step 5: Solve for x
    x = 388,191,302,500/283,571
  6. Step 6: Final answer
    x = 1,368,938.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.