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Finding the Third Proportional to 431,169.96 and 907,031.04

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Solution

The third proportional to 431,169.96 and 907,031.04 is: 1,908,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,169.96 : 907,031.04 = 907,031.04 : x
  2. Step 2: Convert to fraction form
    431,169.96/907,031.04 = 907,031.04/x
  3. Step 3: Cross multiply
    431,169.96x = 907,031.04 × 907,031.04
  4. Step 4: Simplify right side
    431,169.96x = 822,705,305,822.80
  5. Step 5: Solve for x
    x = 822,705,305,822.80/431,169.96
  6. Step 6: Final answer
    x = 1,908,076.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.