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Finding the Third Proportional to 476,349.75 and 740,768.63

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Solution

The third proportional to 476,349.75 and 740,768.63 is: 1,151,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,349.75 : 740,768.63 = 740,768.63 : x
  2. Step 2: Convert to fraction form
    476,349.75/740,768.63 = 740,768.63/x
  3. Step 3: Cross multiply
    476,349.75x = 740,768.63 × 740,768.63
  4. Step 4: Simplify right side
    476,349.75x = 548,738,155,784.39
  5. Step 5: Solve for x
    x = 548,738,155,784.39/476,349.75
  6. Step 6: Final answer
    x = 1,151,964.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.