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Finding the Third Proportional to 294,399 and 655,407

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Solution

The third proportional to 294,399 and 655,407 is: 1,459,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,399 : 655,407 = 655,407 : x
  2. Step 2: Convert to fraction form
    294,399/655,407 = 655,407/x
  3. Step 3: Cross multiply
    294,399x = 655,407 × 655,407
  4. Step 4: Simplify right side
    294,399x = 429,558,335,649
  5. Step 5: Solve for x
    x = 429,558,335,649/294,399
  6. Step 6: Final answer
    x = 1,459,102.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.