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Finding the Third Proportional to 424.63 and 930.38

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Solution

The third proportional to 424.63 and 930.38 is: 2,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.63 : 930.38 = 930.38 : x
  2. Step 2: Convert to fraction form
    424.63/930.38 = 930.38/x
  3. Step 3: Cross multiply
    424.63x = 930.38 × 930.38
  4. Step 4: Simplify right side
    424.63x = 865,597.64
  5. Step 5: Solve for x
    x = 865,597.64/424.63
  6. Step 6: Final answer
    x = 2,038.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.