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Finding the Third Proportional to 546,915 and 839,524.50

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Solution

The third proportional to 546,915 and 839,524.50 is: 1,288,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,915 : 839,524.50 = 839,524.50 : x
  2. Step 2: Convert to fraction form
    546,915/839,524.50 = 839,524.50/x
  3. Step 3: Cross multiply
    546,915x = 839,524.50 × 839,524.50
  4. Step 4: Simplify right side
    546,915x = 704,801,386,100.25
  5. Step 5: Solve for x
    x = 704,801,386,100.25/546,915
  6. Step 6: Final answer
    x = 1,288,685.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.