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Finding the Third Proportional to 420,129 and 630,504

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Solution

The third proportional to 420,129 and 630,504 is: 946,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,129 : 630,504 = 630,504 : x
  2. Step 2: Convert to fraction form
    420,129/630,504 = 630,504/x
  3. Step 3: Cross multiply
    420,129x = 630,504 × 630,504
  4. Step 4: Simplify right side
    420,129x = 397,535,294,016
  5. Step 5: Solve for x
    x = 397,535,294,016/420,129
  6. Step 6: Final answer
    x = 946,221.98

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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.