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Finding the Third Proportional to 531,442 and 789,593

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Solution

The third proportional to 531,442 and 789,593 is: 1,173,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,442 : 789,593 = 789,593 : x
  2. Step 2: Convert to fraction form
    531,442/789,593 = 789,593/x
  3. Step 3: Cross multiply
    531,442x = 789,593 × 789,593
  4. Step 4: Simplify right side
    531,442x = 623,457,105,649
  5. Step 5: Solve for x
    x = 623,457,105,649/531,442
  6. Step 6: Final answer
    x = 1,173,142.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.