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Finding the Third Proportional to 325,880.63 and 477,154.13

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Solution

The third proportional to 325,880.63 and 477,154.13 is: 698,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,880.63 : 477,154.13 = 477,154.13 : x
  2. Step 2: Convert to fraction form
    325,880.63/477,154.13 = 477,154.13/x
  3. Step 3: Cross multiply
    325,880.63x = 477,154.13 × 477,154.13
  4. Step 4: Simplify right side
    325,880.63x = 227,676,059,004.52
  5. Step 5: Solve for x
    x = 227,676,059,004.52/325,880.63
  6. Step 6: Final answer
    x = 698,648.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.