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Finding the Third Proportional to 289,638.50 and 630,768

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Solution

The third proportional to 289,638.50 and 630,768 is: 1,373,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,638.50 : 630,768 = 630,768 : x
  2. Step 2: Convert to fraction form
    289,638.50/630,768 = 630,768/x
  3. Step 3: Cross multiply
    289,638.50x = 630,768 × 630,768
  4. Step 4: Simplify right side
    289,638.50x = 397,868,269,824
  5. Step 5: Solve for x
    x = 397,868,269,824/289,638.50
  6. Step 6: Final answer
    x = 1,373,671.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.