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Finding the Third Proportional to 294,629,227.88 and 409,658,391

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Solution

The third proportional to 294,629,227.88 and 409,658,391 is: 569,597,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,629,227.88 : 409,658,391 = 409,658,391 : x
  2. Step 2: Convert to fraction form
    294,629,227.88/409,658,391 = 409,658,391/x
  3. Step 3: Cross multiply
    294,629,227.88x = 409,658,391 × 409,658,391
  4. Step 4: Simplify right side
    294,629,227.88x = 167,819,997,316,708,896
  5. Step 5: Solve for x
    x = 167,819,997,316,708,896/294,629,227.88
  6. Step 6: Final answer
    x = 569,597,247.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.