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Finding the Third Proportional to 346,840.73 and 756,546.33

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Solution

The third proportional to 346,840.73 and 756,546.33 is: 1,650,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,840.73 : 756,546.33 = 756,546.33 : x
  2. Step 2: Convert to fraction form
    346,840.73/756,546.33 = 756,546.33/x
  3. Step 3: Cross multiply
    346,840.73x = 756,546.33 × 756,546.33
  4. Step 4: Simplify right side
    346,840.73x = 572,362,346,599.42
  5. Step 5: Solve for x
    x = 572,362,346,599.42/346,840.73
  6. Step 6: Final answer
    x = 1,650,216.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.