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Finding the Third Proportional to 523,569 and 789,720

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Solution

The third proportional to 523,569 and 789,720 is: 1,191,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,569 : 789,720 = 789,720 : x
  2. Step 2: Convert to fraction form
    523,569/789,720 = 789,720/x
  3. Step 3: Cross multiply
    523,569x = 789,720 × 789,720
  4. Step 4: Simplify right side
    523,569x = 623,657,678,400
  5. Step 5: Solve for x
    x = 623,657,678,400/523,569
  6. Step 6: Final answer
    x = 1,191,166.17

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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.