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Finding the Third Proportional to 280,282 and 658,006

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Solution

The third proportional to 280,282 and 658,006 is: 1,544,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,282 : 658,006 = 658,006 : x
  2. Step 2: Convert to fraction form
    280,282/658,006 = 658,006/x
  3. Step 3: Cross multiply
    280,282x = 658,006 × 658,006
  4. Step 4: Simplify right side
    280,282x = 432,971,896,036
  5. Step 5: Solve for x
    x = 432,971,896,036/280,282
  6. Step 6: Final answer
    x = 1,544,772.39

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.