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Finding the Third Proportional to 509,224.25 and 1,116,377.50

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Solution

The third proportional to 509,224.25 and 1,116,377.50 is: 2,447,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,224.25 : 1,116,377.50 = 1,116,377.50 : x
  2. Step 2: Convert to fraction form
    509,224.25/1,116,377.50 = 1,116,377.50/x
  3. Step 3: Cross multiply
    509,224.25x = 1,116,377.50 × 1,116,377.50
  4. Step 4: Simplify right side
    509,224.25x = 1,246,298,722,506.25
  5. Step 5: Solve for x
    x = 1,246,298,722,506.25/509,224.25
  6. Step 6: Final answer
    x = 2,447,445.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.