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Finding the Third Proportional to 280,467 and 617,026.50

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Solution

The third proportional to 280,467 and 617,026.50 is: 1,357,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,467 : 617,026.50 = 617,026.50 : x
  2. Step 2: Convert to fraction form
    280,467/617,026.50 = 617,026.50/x
  3. Step 3: Cross multiply
    280,467x = 617,026.50 × 617,026.50
  4. Step 4: Simplify right side
    280,467x = 380,721,701,702.25
  5. Step 5: Solve for x
    x = 380,721,701,702.25/280,467
  6. Step 6: Final answer
    x = 1,357,456.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.