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Finding the Third Proportional to 295,057.69 and 432,906.19

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Solution

The third proportional to 295,057.69 and 432,906.19 is: 635,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,057.69 : 432,906.19 = 432,906.19 : x
  2. Step 2: Convert to fraction form
    295,057.69/432,906.19 = 432,906.19/x
  3. Step 3: Cross multiply
    295,057.69x = 432,906.19 × 432,906.19
  4. Step 4: Simplify right side
    295,057.69x = 187,407,767,175.79
  5. Step 5: Solve for x
    x = 187,407,767,175.79/295,057.69
  6. Step 6: Final answer
    x = 635,156.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.