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Finding the Third Proportional to 307,401 and 630,111

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Solution

The third proportional to 307,401 and 630,111 is: 1,291,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,401 : 630,111 = 630,111 : x
  2. Step 2: Convert to fraction form
    307,401/630,111 = 630,111/x
  3. Step 3: Cross multiply
    307,401x = 630,111 × 630,111
  4. Step 4: Simplify right side
    307,401x = 397,039,872,321
  5. Step 5: Solve for x
    x = 397,039,872,321/307,401
  6. Step 6: Final answer
    x = 1,291,602.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.