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Finding the Third Proportional to 347,034 and 524,928

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Solution

The third proportional to 347,034 and 524,928 is: 794,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,034 : 524,928 = 524,928 : x
  2. Step 2: Convert to fraction form
    347,034/524,928 = 524,928/x
  3. Step 3: Cross multiply
    347,034x = 524,928 × 524,928
  4. Step 4: Simplify right side
    347,034x = 275,549,405,184
  5. Step 5: Solve for x
    x = 275,549,405,184/347,034
  6. Step 6: Final answer
    x = 794,012.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.