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Finding the Third Proportional to 349,955,472 and 765,820,320

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Solution

The third proportional to 349,955,472 and 765,820,320 is: 1,675,872,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,955,472 : 765,820,320 = 765,820,320 : x
  2. Step 2: Convert to fraction form
    349,955,472/765,820,320 = 765,820,320/x
  3. Step 3: Cross multiply
    349,955,472x = 765,820,320 × 765,820,320
  4. Step 4: Simplify right side
    349,955,472x = 586,480,762,524,902,400
  5. Step 5: Solve for x
    x = 586,480,762,524,902,400/349,955,472
  6. Step 6: Final answer
    x = 1,675,872,530.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.