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Finding the Third Proportional to 291,686.63 and 437,535

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Solution

The third proportional to 291,686.63 and 437,535 is: 656,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,686.63 : 437,535 = 437,535 : x
  2. Step 2: Convert to fraction form
    291,686.63/437,535 = 437,535/x
  3. Step 3: Cross multiply
    291,686.63x = 437,535 × 437,535
  4. Step 4: Simplify right side
    291,686.63x = 191,436,876,225
  5. Step 5: Solve for x
    x = 191,436,876,225/291,686.63
  6. Step 6: Final answer
    x = 656,310.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.