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Finding the Third Proportional to 420,126 and 630,498

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Solution

The third proportional to 420,126 and 630,498 is: 946,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,126 : 630,498 = 630,498 : x
  2. Step 2: Convert to fraction form
    420,126/630,498 = 630,498/x
  3. Step 3: Cross multiply
    420,126x = 630,498 × 630,498
  4. Step 4: Simplify right side
    420,126x = 397,527,728,004
  5. Step 5: Solve for x
    x = 397,527,728,004/420,126
  6. Step 6: Final answer
    x = 946,210.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.