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Finding the Third Proportional to 385,671,227.25 and 587,530,266.75

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Solution

The third proportional to 385,671,227.25 and 587,530,266.75 is: 895,041,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,671,227.25 : 587,530,266.75 = 587,530,266.75 : x
  2. Step 2: Convert to fraction form
    385,671,227.25/587,530,266.75 = 587,530,266.75/x
  3. Step 3: Cross multiply
    385,671,227.25x = 587,530,266.75 × 587,530,266.75
  4. Step 4: Simplify right side
    385,671,227.25x = 345,191,814,347,326,144
  5. Step 5: Solve for x
    x = 345,191,814,347,326,144/385,671,227.25
  6. Step 6: Final answer
    x = 895,041,657.14

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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.