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Finding the Third Proportional to 447,908,724 and 640,510,240

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Solution

The third proportional to 447,908,724 and 640,510,240 is: 915,930,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,908,724 : 640,510,240 = 640,510,240 : x
  2. Step 2: Convert to fraction form
    447,908,724/640,510,240 = 640,510,240/x
  3. Step 3: Cross multiply
    447,908,724x = 640,510,240 × 640,510,240
  4. Step 4: Simplify right side
    447,908,724x = 410,253,367,544,857,600
  5. Step 5: Solve for x
    x = 410,253,367,544,857,600/447,908,724
  6. Step 6: Final answer
    x = 915,930,736.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.