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Finding the Third Proportional to 501,595,064 and 774,757,812

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Solution

The third proportional to 501,595,064 and 774,757,812 is: 1,196,681,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,595,064 : 774,757,812 = 774,757,812 : x
  2. Step 2: Convert to fraction form
    501,595,064/774,757,812 = 774,757,812/x
  3. Step 3: Cross multiply
    501,595,064x = 774,757,812 × 774,757,812
  4. Step 4: Simplify right side
    501,595,064x = 600,249,667,255,027,328
  5. Step 5: Solve for x
    x = 600,249,667,255,027,328/501,595,064
  6. Step 6: Final answer
    x = 1,196,681,766.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.