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Finding the Third Proportional to 296,315.72 and 659,141.30

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Solution

The third proportional to 296,315.72 and 659,141.30 is: 1,466,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,315.72 : 659,141.30 = 659,141.30 : x
  2. Step 2: Convert to fraction form
    296,315.72/659,141.30 = 659,141.30/x
  3. Step 3: Cross multiply
    296,315.72x = 659,141.30 × 659,141.30
  4. Step 4: Simplify right side
    296,315.72x = 434,467,249,246.06
  5. Step 5: Solve for x
    x = 434,467,249,246.06/296,315.72
  6. Step 6: Final answer
    x = 1,466,230.85

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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.