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Finding the Third Proportional to 291,195 and 636,275.25

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Solution

The third proportional to 291,195 and 636,275.25 is: 1,390,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,195 : 636,275.25 = 636,275.25 : x
  2. Step 2: Convert to fraction form
    291,195/636,275.25 = 636,275.25/x
  3. Step 3: Cross multiply
    291,195x = 636,275.25 × 636,275.25
  4. Step 4: Simplify right side
    291,195x = 404,846,193,762.56
  5. Step 5: Solve for x
    x = 404,846,193,762.56/291,195
  6. Step 6: Final answer
    x = 1,390,292.39

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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.