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Finding the Third Proportional to 262,302.75 and 384,838.88

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Solution

The third proportional to 262,302.75 and 384,838.88 is: 564,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,302.75 : 384,838.88 = 384,838.88 : x
  2. Step 2: Convert to fraction form
    262,302.75/384,838.88 = 384,838.88/x
  3. Step 3: Cross multiply
    262,302.75x = 384,838.88 × 384,838.88
  4. Step 4: Simplify right side
    262,302.75x = 148,100,959,711.27
  5. Step 5: Solve for x
    x = 148,100,959,711.27/262,302.75
  6. Step 6: Final answer
    x = 564,618.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.