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Finding the Third Proportional to 375,684 and 550,039

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Solution

The third proportional to 375,684 and 550,039 is: 805,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,684 : 550,039 = 550,039 : x
  2. Step 2: Convert to fraction form
    375,684/550,039 = 550,039/x
  3. Step 3: Cross multiply
    375,684x = 550,039 × 550,039
  4. Step 4: Simplify right side
    375,684x = 302,542,901,521
  5. Step 5: Solve for x
    x = 302,542,901,521/375,684
  6. Step 6: Final answer
    x = 805,312.18

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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.