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Finding the Third Proportional to 280,484 and 617,042

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Solution

The third proportional to 280,484 and 617,042 is: 1,357,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,484 : 617,042 = 617,042 : x
  2. Step 2: Convert to fraction form
    280,484/617,042 = 617,042/x
  3. Step 3: Cross multiply
    280,484x = 617,042 × 617,042
  4. Step 4: Simplify right side
    280,484x = 380,740,829,764
  5. Step 5: Solve for x
    x = 380,740,829,764/280,484
  6. Step 6: Final answer
    x = 1,357,442.24

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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.