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Finding the Third Proportional to 344,032 and 809,478

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Solution

The third proportional to 344,032 and 809,478 is: 1,904,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,032 : 809,478 = 809,478 : x
  2. Step 2: Convert to fraction form
    344,032/809,478 = 809,478/x
  3. Step 3: Cross multiply
    344,032x = 809,478 × 809,478
  4. Step 4: Simplify right side
    344,032x = 655,254,632,484
  5. Step 5: Solve for x
    x = 655,254,632,484/344,032
  6. Step 6: Final answer
    x = 1,904,632.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.