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Finding the Third Proportional to 464,058 and 738,414.75

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Solution

The third proportional to 464,058 and 738,414.75 is: 1,174,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,058 : 738,414.75 = 738,414.75 : x
  2. Step 2: Convert to fraction form
    464,058/738,414.75 = 738,414.75/x
  3. Step 3: Cross multiply
    464,058x = 738,414.75 × 738,414.75
  4. Step 4: Simplify right side
    464,058x = 545,256,343,017.56
  5. Step 5: Solve for x
    x = 545,256,343,017.56/464,058
  6. Step 6: Final answer
    x = 1,174,974.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.