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Finding the Third Proportional to 334,549.41 and 476,911.97

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Solution

The third proportional to 334,549.41 and 476,911.97 is: 679,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,549.41 : 476,911.97 = 476,911.97 : x
  2. Step 2: Convert to fraction form
    334,549.41/476,911.97 = 476,911.97/x
  3. Step 3: Cross multiply
    334,549.41x = 476,911.97 × 476,911.97
  4. Step 4: Simplify right side
    334,549.41x = 227,445,025,937.00
  5. Step 5: Solve for x
    x = 227,445,025,937.00/334,549.41
  6. Step 6: Final answer
    x = 679,854.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.