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Finding the Third Proportional to 429,392 and 925,760

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Solution

The third proportional to 429,392 and 925,760 is: 1,995,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,392 : 925,760 = 925,760 : x
  2. Step 2: Convert to fraction form
    429,392/925,760 = 925,760/x
  3. Step 3: Cross multiply
    429,392x = 925,760 × 925,760
  4. Step 4: Simplify right side
    429,392x = 857,031,577,600
  5. Step 5: Solve for x
    x = 857,031,577,600/429,392
  6. Step 6: Final answer
    x = 1,995,918.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.