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Finding the Third Proportional to 290,926 and 454,068.50

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Solution

The third proportional to 290,926 and 454,068.50 is: 708,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,926 : 454,068.50 = 454,068.50 : x
  2. Step 2: Convert to fraction form
    290,926/454,068.50 = 454,068.50/x
  3. Step 3: Cross multiply
    290,926x = 454,068.50 × 454,068.50
  4. Step 4: Simplify right side
    290,926x = 206,178,202,692.25
  5. Step 5: Solve for x
    x = 206,178,202,692.25/290,926
  6. Step 6: Final answer
    x = 708,696.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.