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Finding the Third Proportional to 285,786 and 624,058.88

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Solution

The third proportional to 285,786 and 624,058.88 is: 1,362,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,786 : 624,058.88 = 624,058.88 : x
  2. Step 2: Convert to fraction form
    285,786/624,058.88 = 624,058.88/x
  3. Step 3: Cross multiply
    285,786x = 624,058.88 × 624,058.88
  4. Step 4: Simplify right side
    285,786x = 389,449,479,466.27
  5. Step 5: Solve for x
    x = 389,449,479,466.27/285,786
  6. Step 6: Final answer
    x = 1,362,731.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.