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Finding the Third Proportional to 309,214.69 and 665,176.69

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Solution

The third proportional to 309,214.69 and 665,176.69 is: 1,430,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,214.69 : 665,176.69 = 665,176.69 : x
  2. Step 2: Convert to fraction form
    309,214.69/665,176.69 = 665,176.69/x
  3. Step 3: Cross multiply
    309,214.69x = 665,176.69 × 665,176.69
  4. Step 4: Simplify right side
    309,214.69x = 442,460,025,593.47
  5. Step 5: Solve for x
    x = 442,460,025,593.47/309,214.69
  6. Step 6: Final answer
    x = 1,430,915.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.