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Finding the Third Proportional to 413,336.25 and 907,983

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Solution

The third proportional to 413,336.25 and 907,983 is: 1,994,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,336.25 : 907,983 = 907,983 : x
  2. Step 2: Convert to fraction form
    413,336.25/907,983 = 907,983/x
  3. Step 3: Cross multiply
    413,336.25x = 907,983 × 907,983
  4. Step 4: Simplify right side
    413,336.25x = 824,433,128,289
  5. Step 5: Solve for x
    x = 824,433,128,289/413,336.25
  6. Step 6: Final answer
    x = 1,994,582.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.