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Finding the Third Proportional to 375,563 and 835,083

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Solution

The third proportional to 375,563 and 835,083 is: 1,856,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,563 : 835,083 = 835,083 : x
  2. Step 2: Convert to fraction form
    375,563/835,083 = 835,083/x
  3. Step 3: Cross multiply
    375,563x = 835,083 × 835,083
  4. Step 4: Simplify right side
    375,563x = 697,363,616,889
  5. Step 5: Solve for x
    x = 697,363,616,889/375,563
  6. Step 6: Final answer
    x = 1,856,848.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.