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Finding the Third Proportional to 385,671,229 and 587,530,270

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Solution

The third proportional to 385,671,229 and 587,530,270 is: 895,041,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,671,229 : 587,530,270 = 587,530,270 : x
  2. Step 2: Convert to fraction form
    385,671,229/587,530,270 = 587,530,270/x
  3. Step 3: Cross multiply
    385,671,229x = 587,530,270 × 587,530,270
  4. Step 4: Simplify right side
    385,671,229x = 345,191,818,166,272,896
  5. Step 5: Solve for x
    x = 345,191,818,166,272,896/385,671,229
  6. Step 6: Final answer
    x = 895,041,662.98

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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.