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Finding the Third Proportional to 349,454.25 and 764,336.25

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Solution

The third proportional to 349,454.25 and 764,336.25 is: 1,671,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,454.25 : 764,336.25 = 764,336.25 : x
  2. Step 2: Convert to fraction form
    349,454.25/764,336.25 = 764,336.25/x
  3. Step 3: Cross multiply
    349,454.25x = 764,336.25 × 764,336.25
  4. Step 4: Simplify right side
    349,454.25x = 584,209,903,064.06
  5. Step 5: Solve for x
    x = 584,209,903,064.06/349,454.25
  6. Step 6: Final answer
    x = 1,671,777.93

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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.