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Finding the Third Proportional to 385,468,409.25 and 587,236,746.37

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Solution

The third proportional to 385,468,409.25 and 587,236,746.37 is: 894,618,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,468,409.25 : 587,236,746.37 = 587,236,746.37 : x
  2. Step 2: Convert to fraction form
    385,468,409.25/587,236,746.37 = 587,236,746.37/x
  3. Step 3: Cross multiply
    385,468,409.25x = 587,236,746.37 × 587,236,746.37
  4. Step 4: Simplify right side
    385,468,409.25x = 344,846,996,293,049,024
  5. Step 5: Solve for x
    x = 344,846,996,293,049,024/385,468,409.25
  6. Step 6: Final answer
    x = 894,618,049.15

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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.