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Finding the Third Proportional to 619,929 and 957,517.50

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Solution

The third proportional to 619,929 and 957,517.50 is: 1,478,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,929 : 957,517.50 = 957,517.50 : x
  2. Step 2: Convert to fraction form
    619,929/957,517.50 = 957,517.50/x
  3. Step 3: Cross multiply
    619,929x = 957,517.50 × 957,517.50
  4. Step 4: Simplify right side
    619,929x = 916,839,762,806.25
  5. Step 5: Solve for x
    x = 916,839,762,806.25/619,929
  6. Step 6: Final answer
    x = 1,478,943.17

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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.