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Finding the Third Proportional to 294,629,250 and 409,658,424

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Solution

The third proportional to 294,629,250 and 409,658,424 is: 569,597,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,629,250 : 409,658,424 = 409,658,424 : x
  2. Step 2: Convert to fraction form
    294,629,250/409,658,424 = 409,658,424/x
  3. Step 3: Cross multiply
    294,629,250x = 409,658,424 × 409,658,424
  4. Step 4: Simplify right side
    294,629,250x = 167,820,024,354,163,776
  5. Step 5: Solve for x
    x = 167,820,024,354,163,776/294,629,250
  6. Step 6: Final answer
    x = 569,597,296.79

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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.