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Finding the Third Proportional to 296,262.50 and 656,584.75

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Solution

The third proportional to 296,262.50 and 656,584.75 is: 1,455,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,262.50 : 656,584.75 = 656,584.75 : x
  2. Step 2: Convert to fraction form
    296,262.50/656,584.75 = 656,584.75/x
  3. Step 3: Cross multiply
    296,262.50x = 656,584.75 × 656,584.75
  4. Step 4: Simplify right side
    296,262.50x = 431,103,533,932.56
  5. Step 5: Solve for x
    x = 431,103,533,932.56/296,262.50
  6. Step 6: Final answer
    x = 1,455,140.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.