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Finding the Third Proportional to 497,532 and 789,084

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Solution

The third proportional to 497,532 and 789,084 is: 1,251,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,532 : 789,084 = 789,084 : x
  2. Step 2: Convert to fraction form
    497,532/789,084 = 789,084/x
  3. Step 3: Cross multiply
    497,532x = 789,084 × 789,084
  4. Step 4: Simplify right side
    497,532x = 622,653,559,056
  5. Step 5: Solve for x
    x = 622,653,559,056/497,532
  6. Step 6: Final answer
    x = 1,251,484.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.