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Finding the Third Proportional to 385,709,055 and 582,041,398.50

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Solution

The third proportional to 385,709,055 and 582,041,398.50 is: 878,310,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,709,055 : 582,041,398.50 = 582,041,398.50 : x
  2. Step 2: Convert to fraction form
    385,709,055/582,041,398.50 = 582,041,398.50/x
  3. Step 3: Cross multiply
    385,709,055x = 582,041,398.50 × 582,041,398.50
  4. Step 4: Simplify right side
    385,709,055x = 338,772,189,567,835,776
  5. Step 5: Solve for x
    x = 338,772,189,567,835,776/385,709,055
  6. Step 6: Final answer
    x = 878,310,180.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.