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Finding the Third Proportional to 296,958,264 and 449,259,462

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Solution

The third proportional to 296,958,264 and 449,259,462 is: 679,671,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,958,264 : 449,259,462 = 449,259,462 : x
  2. Step 2: Convert to fraction form
    296,958,264/449,259,462 = 449,259,462/x
  3. Step 3: Cross multiply
    296,958,264x = 449,259,462 × 449,259,462
  4. Step 4: Simplify right side
    296,958,264x = 201,834,064,196,529,440
  5. Step 5: Solve for x
    x = 201,834,064,196,529,440/296,958,264
  6. Step 6: Final answer
    x = 679,671,484.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.