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Finding the Third Proportional to 285,283 and 611,048

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Solution

The third proportional to 285,283 and 611,048 is: 1,308,804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,283 : 611,048 = 611,048 : x
  2. Step 2: Convert to fraction form
    285,283/611,048 = 611,048/x
  3. Step 3: Cross multiply
    285,283x = 611,048 × 611,048
  4. Step 4: Simplify right side
    285,283x = 373,379,658,304
  5. Step 5: Solve for x
    x = 373,379,658,304/285,283
  6. Step 6: Final answer
    x = 1,308,804.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.