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Finding the Third Proportional to 291,604.50 and 450,326.25

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Solution

The third proportional to 291,604.50 and 450,326.25 is: 695,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,604.50 : 450,326.25 = 450,326.25 : x
  2. Step 2: Convert to fraction form
    291,604.50/450,326.25 = 450,326.25/x
  3. Step 3: Cross multiply
    291,604.50x = 450,326.25 × 450,326.25
  4. Step 4: Simplify right side
    291,604.50x = 202,793,731,439.06
  5. Step 5: Solve for x
    x = 202,793,731,439.06/291,604.50
  6. Step 6: Final answer
    x = 695,441.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.