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Finding the Third Proportional to 523,468 and 789,579

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Solution

The third proportional to 523,468 and 789,579 is: 1,190,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,468 : 789,579 = 789,579 : x
  2. Step 2: Convert to fraction form
    523,468/789,579 = 789,579/x
  3. Step 3: Cross multiply
    523,468x = 789,579 × 789,579
  4. Step 4: Simplify right side
    523,468x = 623,434,997,241
  5. Step 5: Solve for x
    x = 623,434,997,241/523,468
  6. Step 6: Final answer
    x = 1,190,970.60

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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.