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Finding the Third Proportional to 280,958 and 608,572

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Solution

The third proportional to 280,958 and 608,572 is: 1,318,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,958 : 608,572 = 608,572 : x
  2. Step 2: Convert to fraction form
    280,958/608,572 = 608,572/x
  3. Step 3: Cross multiply
    280,958x = 608,572 × 608,572
  4. Step 4: Simplify right side
    280,958x = 370,359,879,184
  5. Step 5: Solve for x
    x = 370,359,879,184/280,958
  6. Step 6: Final answer
    x = 1,318,203.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.