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Finding the Third Proportional to 385,671,225 and 587,530,263.25

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Solution

The third proportional to 385,671,225 and 587,530,263.25 is: 895,041,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,671,225 : 587,530,263.25 = 587,530,263.25 : x
  2. Step 2: Convert to fraction form
    385,671,225/587,530,263.25 = 587,530,263.25/x
  3. Step 3: Cross multiply
    385,671,225x = 587,530,263.25 × 587,530,263.25
  4. Step 4: Simplify right side
    385,671,225x = 345,191,810,234,614,272
  5. Step 5: Solve for x
    x = 345,191,810,234,614,272/385,671,225
  6. Step 6: Final answer
    x = 895,041,651.69

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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.