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Finding the Third Proportional to 385,737,592.50 and 582,193,615.50

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Solution

The third proportional to 385,737,592.50 and 582,193,615.50 is: 878,704,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,737,592.50 : 582,193,615.50 = 582,193,615.50 : x
  2. Step 2: Convert to fraction form
    385,737,592.50/582,193,615.50 = 582,193,615.50/x
  3. Step 3: Cross multiply
    385,737,592.50x = 582,193,615.50 × 582,193,615.50
  4. Step 4: Simplify right side
    385,737,592.50x = 338,949,405,928,961,856
  5. Step 5: Solve for x
    x = 338,949,405,928,961,856/385,737,592.50
  6. Step 6: Final answer
    x = 878,704,623.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.