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Finding the Third Proportional to 296,958,266 and 449,259,465

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Solution

The third proportional to 296,958,266 and 449,259,465 is: 679,671,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,958,266 : 449,259,465 = 449,259,465 : x
  2. Step 2: Convert to fraction form
    296,958,266/449,259,465 = 449,259,465/x
  3. Step 3: Cross multiply
    296,958,266x = 449,259,465 × 449,259,465
  4. Step 4: Simplify right side
    296,958,266x = 201,834,066,892,086,240
  5. Step 5: Solve for x
    x = 201,834,066,892,086,240/296,958,266
  6. Step 6: Final answer
    x = 679,671,489.23

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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.