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Finding the Third Proportional to 281,007 and 456,543

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Solution

The third proportional to 281,007 and 456,543 is: 741,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,007 : 456,543 = 456,543 : x
  2. Step 2: Convert to fraction form
    281,007/456,543 = 456,543/x
  3. Step 3: Cross multiply
    281,007x = 456,543 × 456,543
  4. Step 4: Simplify right side
    281,007x = 208,431,510,849
  5. Step 5: Solve for x
    x = 208,431,510,849/281,007
  6. Step 6: Final answer
    x = 741,730.67

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.