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Finding the Third Proportional to 280,988 and 430,869

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Solution

The third proportional to 280,988 and 430,869 is: 660,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,988 : 430,869 = 430,869 : x
  2. Step 2: Convert to fraction form
    280,988/430,869 = 430,869/x
  3. Step 3: Cross multiply
    280,988x = 430,869 × 430,869
  4. Step 4: Simplify right side
    280,988x = 185,648,095,161
  5. Step 5: Solve for x
    x = 185,648,095,161/280,988
  6. Step 6: Final answer
    x = 660,697.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.