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Finding the Third Proportional to 349,439,466 and 776,449,515.75

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Solution

The third proportional to 349,439,466 and 776,449,515.75 is: 1,725,259,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,439,466 : 776,449,515.75 = 776,449,515.75 : x
  2. Step 2: Convert to fraction form
    349,439,466/776,449,515.75 = 776,449,515.75/x
  3. Step 3: Cross multiply
    349,439,466x = 776,449,515.75 × 776,449,515.75
  4. Step 4: Simplify right side
    349,439,466x = 602,873,850,508,409,472
  5. Step 5: Solve for x
    x = 602,873,850,508,409,472/349,439,466
  6. Step 6: Final answer
    x = 1,725,259,763.61

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.