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Finding the Third Proportional to 630,268 and 906,032

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Solution

The third proportional to 630,268 and 906,032 is: 1,302,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,268 : 906,032 = 906,032 : x
  2. Step 2: Convert to fraction form
    630,268/906,032 = 906,032/x
  3. Step 3: Cross multiply
    630,268x = 906,032 × 906,032
  4. Step 4: Simplify right side
    630,268x = 820,893,985,024
  5. Step 5: Solve for x
    x = 820,893,985,024/630,268
  6. Step 6: Final answer
    x = 1,302,452.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.