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Finding the Third Proportional to 284,817,928 and 584,734,904

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Solution

The third proportional to 284,817,928 and 584,734,904 is: 1,200,468,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,817,928 : 584,734,904 = 584,734,904 : x
  2. Step 2: Convert to fraction form
    284,817,928/584,734,904 = 584,734,904/x
  3. Step 3: Cross multiply
    284,817,928x = 584,734,904 × 584,734,904
  4. Step 4: Simplify right side
    284,817,928x = 341,914,907,955,889,216
  5. Step 5: Solve for x
    x = 341,914,907,955,889,216/284,817,928
  6. Step 6: Final answer
    x = 1,200,468,349.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.