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Finding the Third Proportional to 349,292.25 and 546,773.63

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Solution

The third proportional to 349,292.25 and 546,773.63 is: 855,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,292.25 : 546,773.63 = 546,773.63 : x
  2. Step 2: Convert to fraction form
    349,292.25/546,773.63 = 546,773.63/x
  3. Step 3: Cross multiply
    349,292.25x = 546,773.63 × 546,773.63
  4. Step 4: Simplify right side
    349,292.25x = 298,961,396,995.64
  5. Step 5: Solve for x
    x = 298,961,396,995.64/349,292.25
  6. Step 6: Final answer
    x = 855,906.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.