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Finding the Third Proportional to 417,206 and 897,284.50

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Solution

The third proportional to 417,206 and 897,284.50 is: 1,929,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,206 : 897,284.50 = 897,284.50 : x
  2. Step 2: Convert to fraction form
    417,206/897,284.50 = 897,284.50/x
  3. Step 3: Cross multiply
    417,206x = 897,284.50 × 897,284.50
  4. Step 4: Simplify right side
    417,206x = 805,119,473,940.25
  5. Step 5: Solve for x
    x = 805,119,473,940.25/417,206
  6. Step 6: Final answer
    x = 1,929,788.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.