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Finding the Third Proportional to 385,599,864 and 587,435,148

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Solution

The third proportional to 385,599,864 and 587,435,148 is: 894,917,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,599,864 : 587,435,148 = 587,435,148 : x
  2. Step 2: Convert to fraction form
    385,599,864/587,435,148 = 587,435,148/x
  3. Step 3: Cross multiply
    385,599,864x = 587,435,148 × 587,435,148
  4. Step 4: Simplify right side
    385,599,864x = 345,080,053,105,781,888
  5. Step 5: Solve for x
    x = 345,080,053,105,781,888/385,599,864
  6. Step 6: Final answer
    x = 894,917,465.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.