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Finding the Third Proportional to 323,312.91 and 762,138.47

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Solution

The third proportional to 323,312.91 and 762,138.47 is: 1,796,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,312.91 : 762,138.47 = 762,138.47 : x
  2. Step 2: Convert to fraction form
    323,312.91/762,138.47 = 762,138.47/x
  3. Step 3: Cross multiply
    323,312.91x = 762,138.47 × 762,138.47
  4. Step 4: Simplify right side
    323,312.91x = 580,855,045,548.60
  5. Step 5: Solve for x
    x = 580,855,045,548.60/323,312.91
  6. Step 6: Final answer
    x = 1,796,572.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.