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Finding the Third Proportional to 285,824 and 609,604

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Solution

The third proportional to 285,824 and 609,604 is: 1,300,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,824 : 609,604 = 609,604 : x
  2. Step 2: Convert to fraction form
    285,824/609,604 = 609,604/x
  3. Step 3: Cross multiply
    285,824x = 609,604 × 609,604
  4. Step 4: Simplify right side
    285,824x = 371,617,036,816
  5. Step 5: Solve for x
    x = 371,617,036,816/285,824
  6. Step 6: Final answer
    x = 1,300,160.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.