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Finding the Third Proportional to 630.25 and 946.25

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Solution

The third proportional to 630.25 and 946.25 is: 1,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.25 : 946.25 = 946.25 : x
  2. Step 2: Convert to fraction form
    630.25/946.25 = 946.25/x
  3. Step 3: Cross multiply
    630.25x = 946.25 × 946.25
  4. Step 4: Simplify right side
    630.25x = 895,389.06
  5. Step 5: Solve for x
    x = 895,389.06/630.25
  6. Step 6: Final answer
    x = 1,420.69

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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.