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Finding the Third Proportional to 327,547.50 and 694,460.63

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Solution

The third proportional to 327,547.50 and 694,460.63 is: 1,472,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,547.50 : 694,460.63 = 694,460.63 : x
  2. Step 2: Convert to fraction form
    327,547.50/694,460.63 = 694,460.63/x
  3. Step 3: Cross multiply
    327,547.50x = 694,460.63 × 694,460.63
  4. Step 4: Simplify right side
    327,547.50x = 482,275,559,675.39
  5. Step 5: Solve for x
    x = 482,275,559,675.39/327,547.50
  6. Step 6: Final answer
    x = 1,472,383.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.