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Finding the Third Proportional to 341,665,350 and 510,259,119

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Solution

The third proportional to 341,665,350 and 510,259,119 is: 762,044,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,665,350 : 510,259,119 = 510,259,119 : x
  2. Step 2: Convert to fraction form
    341,665,350/510,259,119 = 510,259,119/x
  3. Step 3: Cross multiply
    341,665,350x = 510,259,119 × 510,259,119
  4. Step 4: Simplify right side
    341,665,350x = 260,364,368,522,656,160
  5. Step 5: Solve for x
    x = 260,364,368,522,656,160/341,665,350
  6. Step 6: Final answer
    x = 762,044,990.87

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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.