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Finding the Third Proportional to 523,460 and 789,567

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Solution

The third proportional to 523,460 and 789,567 is: 1,190,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,460 : 789,567 = 789,567 : x
  2. Step 2: Convert to fraction form
    523,460/789,567 = 789,567/x
  3. Step 3: Cross multiply
    523,460x = 789,567 × 789,567
  4. Step 4: Simplify right side
    523,460x = 623,416,047,489
  5. Step 5: Solve for x
    x = 623,416,047,489/523,460
  6. Step 6: Final answer
    x = 1,190,952.60

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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.