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Finding the Third Proportional to 309,642 and 512,465

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Solution

The third proportional to 309,642 and 512,465 is: 848,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,642 : 512,465 = 512,465 : x
  2. Step 2: Convert to fraction form
    309,642/512,465 = 512,465/x
  3. Step 3: Cross multiply
    309,642x = 512,465 × 512,465
  4. Step 4: Simplify right side
    309,642x = 262,620,376,225
  5. Step 5: Solve for x
    x = 262,620,376,225/309,642
  6. Step 6: Final answer
    x = 848,141.97

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.