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Finding the Third Proportional to 285,984 and 616,291

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Solution

The third proportional to 285,984 and 616,291 is: 1,328,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,984 : 616,291 = 616,291 : x
  2. Step 2: Convert to fraction form
    285,984/616,291 = 616,291/x
  3. Step 3: Cross multiply
    285,984x = 616,291 × 616,291
  4. Step 4: Simplify right side
    285,984x = 379,814,596,681
  5. Step 5: Solve for x
    x = 379,814,596,681/285,984
  6. Step 6: Final answer
    x = 1,328,097.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.