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Finding the Third Proportional to 341,665,384 and 510,259,168.75

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Solution

The third proportional to 341,665,384 and 510,259,168.75 is: 762,045,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,665,384 : 510,259,168.75 = 510,259,168.75 : x
  2. Step 2: Convert to fraction form
    341,665,384/510,259,168.75 = 510,259,168.75/x
  3. Step 3: Cross multiply
    341,665,384x = 510,259,168.75 × 510,259,168.75
  4. Step 4: Simplify right side
    341,665,384x = 260,364,419,293,440,992
  5. Step 5: Solve for x
    x = 260,364,419,293,440,992/341,665,384
  6. Step 6: Final answer
    x = 762,045,063.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.