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Finding the Third Proportional to 646,914 and 926,333.50

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Solution

The third proportional to 646,914 and 926,333.50 is: 1,326,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,914 : 926,333.50 = 926,333.50 : x
  2. Step 2: Convert to fraction form
    646,914/926,333.50 = 926,333.50/x
  3. Step 3: Cross multiply
    646,914x = 926,333.50 × 926,333.50
  4. Step 4: Simplify right side
    646,914x = 858,093,753,222.25
  5. Step 5: Solve for x
    x = 858,093,753,222.25/646,914
  6. Step 6: Final answer
    x = 1,326,441.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.