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Finding the Third Proportional to 417,953 and 986,466.50

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Solution

The third proportional to 417,953 and 986,466.50 is: 2,328,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,953 : 986,466.50 = 986,466.50 : x
  2. Step 2: Convert to fraction form
    417,953/986,466.50 = 986,466.50/x
  3. Step 3: Cross multiply
    417,953x = 986,466.50 × 986,466.50
  4. Step 4: Simplify right side
    417,953x = 973,116,155,622.25
  5. Step 5: Solve for x
    x = 973,116,155,622.25/417,953
  6. Step 6: Final answer
    x = 2,328,290.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.