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Finding the Third Proportional to 312,136 and 673,438

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Solution

The third proportional to 312,136 and 673,438 is: 1,452,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,136 : 673,438 = 673,438 : x
  2. Step 2: Convert to fraction form
    312,136/673,438 = 673,438/x
  3. Step 3: Cross multiply
    312,136x = 673,438 × 673,438
  4. Step 4: Simplify right side
    312,136x = 453,518,739,844
  5. Step 5: Solve for x
    x = 453,518,739,844/312,136
  6. Step 6: Final answer
    x = 1,452,952.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.