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Finding the Third Proportional to 262,005 and 384,376.50

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Solution

The third proportional to 262,005 and 384,376.50 is: 563,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,005 : 384,376.50 = 384,376.50 : x
  2. Step 2: Convert to fraction form
    262,005/384,376.50 = 384,376.50/x
  3. Step 3: Cross multiply
    262,005x = 384,376.50 × 384,376.50
  4. Step 4: Simplify right side
    262,005x = 147,745,293,752.25
  5. Step 5: Solve for x
    x = 147,745,293,752.25/262,005
  6. Step 6: Final answer
    x = 563,902.57

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Why These Related Problems?

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