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Finding the Third Proportional to 322,357,560.75 and 483,877,533.25

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Solution

The third proportional to 322,357,560.75 and 483,877,533.25 is: 726,328,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,357,560.75 : 483,877,533.25 = 483,877,533.25 : x
  2. Step 2: Convert to fraction form
    322,357,560.75/483,877,533.25 = 483,877,533.25/x
  3. Step 3: Cross multiply
    322,357,560.75x = 483,877,533.25 × 483,877,533.25
  4. Step 4: Simplify right side
    322,357,560.75x = 234,137,467,184,104,864
  5. Step 5: Solve for x
    x = 234,137,467,184,104,864/322,357,560.75
  6. Step 6: Final answer
    x = 726,328,449.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.