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Finding the Third Proportional to 291,103.88 and 636,518.25

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Solution

The third proportional to 291,103.88 and 636,518.25 is: 1,391,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,103.88 : 636,518.25 = 636,518.25 : x
  2. Step 2: Convert to fraction form
    291,103.88/636,518.25 = 636,518.25/x
  3. Step 3: Cross multiply
    291,103.88x = 636,518.25 × 636,518.25
  4. Step 4: Simplify right side
    291,103.88x = 405,155,482,583.06
  5. Step 5: Solve for x
    x = 405,155,482,583.06/291,103.88
  6. Step 6: Final answer
    x = 1,391,790.07

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Why These Related Problems?

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