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Finding the Third Proportional to 385,597,186.59 and 587,430,641.39

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Solution

The third proportional to 385,597,186.59 and 587,430,641.39 is: 894,909,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,597,186.59 : 587,430,641.39 = 587,430,641.39 : x
  2. Step 2: Convert to fraction form
    385,597,186.59/587,430,641.39 = 587,430,641.39/x
  3. Step 3: Cross multiply
    385,597,186.59x = 587,430,641.39 × 587,430,641.39
  4. Step 4: Simplify right side
    385,597,186.59x = 345,074,758,444,571,648
  5. Step 5: Solve for x
    x = 345,074,758,444,571,648/385,597,186.59
  6. Step 6: Final answer
    x = 894,909,948.63

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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.