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Finding the Third Proportional to 417,205 and 897,306.50

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Solution

The third proportional to 417,205 and 897,306.50 is: 1,929,888.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,205 : 897,306.50 = 897,306.50 : x
  2. Step 2: Convert to fraction form
    417,205/897,306.50 = 897,306.50/x
  3. Step 3: Cross multiply
    417,205x = 897,306.50 × 897,306.50
  4. Step 4: Simplify right side
    417,205x = 805,158,954,942.25
  5. Step 5: Solve for x
    x = 805,158,954,942.25/417,205
  6. Step 6: Final answer
    x = 1,929,888.08

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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.