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Finding the Third Proportional to 338,094,387.28 and 509,802,224.63

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Solution

The third proportional to 338,094,387.28 and 509,802,224.63 is: 768,715,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,094,387.28 : 509,802,224.63 = 509,802,224.63 : x
  2. Step 2: Convert to fraction form
    338,094,387.28/509,802,224.63 = 509,802,224.63/x
  3. Step 3: Cross multiply
    338,094,387.28x = 509,802,224.63 × 509,802,224.63
  4. Step 4: Simplify right side
    338,094,387.28x = 259,898,308,232,598,944
  5. Step 5: Solve for x
    x = 259,898,308,232,598,944/338,094,387.28
  6. Step 6: Final answer
    x = 768,715,240.51

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Why These Related Problems?

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