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Finding the Third Proportional to 270,752.06 and 420,935.63

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Solution

The third proportional to 270,752.06 and 420,935.63 is: 654,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,752.06 : 420,935.63 = 420,935.63 : x
  2. Step 2: Convert to fraction form
    270,752.06/420,935.63 = 420,935.63/x
  3. Step 3: Cross multiply
    270,752.06x = 420,935.63 × 420,935.63
  4. Step 4: Simplify right side
    270,752.06x = 177,186,800,394.14
  5. Step 5: Solve for x
    x = 177,186,800,394.14/270,752.06
  6. Step 6: Final answer
    x = 654,424.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.