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Finding the Third Proportional to 385,528,054.50 and 587,331,465.75

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Solution

The third proportional to 385,528,054.50 and 587,331,465.75 is: 894,768,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,528,054.50 : 587,331,465.75 = 587,331,465.75 : x
  2. Step 2: Convert to fraction form
    385,528,054.50/587,331,465.75 = 587,331,465.75/x
  3. Step 3: Cross multiply
    385,528,054.50x = 587,331,465.75 × 587,331,465.75
  4. Step 4: Simplify right side
    385,528,054.50x = 344,958,250,660,043,392
  5. Step 5: Solve for x
    x = 344,958,250,660,043,392/385,528,054.50
  6. Step 6: Final answer
    x = 894,768,218.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.