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Finding the Third Proportional to 285,042 and 619,368

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Solution

The third proportional to 285,042 and 619,368 is: 1,345,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,042 : 619,368 = 619,368 : x
  2. Step 2: Convert to fraction form
    285,042/619,368 = 619,368/x
  3. Step 3: Cross multiply
    285,042x = 619,368 × 619,368
  4. Step 4: Simplify right side
    285,042x = 383,616,719,424
  5. Step 5: Solve for x
    x = 383,616,719,424/285,042
  6. Step 6: Final answer
    x = 1,345,825.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.