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Finding the Third Proportional to 375,682 and 550,036

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Solution

The third proportional to 375,682 and 550,036 is: 805,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,682 : 550,036 = 550,036 : x
  2. Step 2: Convert to fraction form
    375,682/550,036 = 550,036/x
  3. Step 3: Cross multiply
    375,682x = 550,036 × 550,036
  4. Step 4: Simplify right side
    375,682x = 302,539,601,296
  5. Step 5: Solve for x
    x = 302,539,601,296/375,682
  6. Step 6: Final answer
    x = 805,307.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.