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Finding the Third Proportional to 280,904 and 619,069

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Solution

The third proportional to 280,904 and 619,069 is: 1,364,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,904 : 619,069 = 619,069 : x
  2. Step 2: Convert to fraction form
    280,904/619,069 = 619,069/x
  3. Step 3: Cross multiply
    280,904x = 619,069 × 619,069
  4. Step 4: Simplify right side
    280,904x = 383,246,426,761
  5. Step 5: Solve for x
    x = 383,246,426,761/280,904
  6. Step 6: Final answer
    x = 1,364,332.39

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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.