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Finding the Third Proportional to 388,281,724.88 and 524,764,512.56

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Solution

The third proportional to 388,281,724.88 and 524,764,512.56 is: 709,221,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,281,724.88 : 524,764,512.56 = 524,764,512.56 : x
  2. Step 2: Convert to fraction form
    388,281,724.88/524,764,512.56 = 524,764,512.56/x
  3. Step 3: Cross multiply
    388,281,724.88x = 524,764,512.56 × 524,764,512.56
  4. Step 4: Simplify right side
    388,281,724.88x = 275,377,793,644,958,208
  5. Step 5: Solve for x
    x = 275,377,793,644,958,208/388,281,724.88
  6. Step 6: Final answer
    x = 709,221,619.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.