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Finding the Third Proportional to 373,018 and 805,002

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Solution

The third proportional to 373,018 and 805,002 is: 1,737,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,018 : 805,002 = 805,002 : x
  2. Step 2: Convert to fraction form
    373,018/805,002 = 805,002/x
  3. Step 3: Cross multiply
    373,018x = 805,002 × 805,002
  4. Step 4: Simplify right side
    373,018x = 648,028,220,004
  5. Step 5: Solve for x
    x = 648,028,220,004/373,018
  6. Step 6: Final answer
    x = 1,737,257.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.