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Finding the Third Proportional to 502,814,293 and 775,743,713.50

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Solution

The third proportional to 502,814,293 and 775,743,713.50 is: 1,196,820,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,814,293 : 775,743,713.50 = 775,743,713.50 : x
  2. Step 2: Convert to fraction form
    502,814,293/775,743,713.50 = 775,743,713.50/x
  3. Step 3: Cross multiply
    502,814,293x = 775,743,713.50 × 775,743,713.50
  4. Step 4: Simplify right side
    502,814,293x = 601,778,309,034,770,048
  5. Step 5: Solve for x
    x = 601,778,309,034,770,048/502,814,293
  6. Step 6: Final answer
    x = 1,196,820,212.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.