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Finding the Third Proportional to 424.19 and 928.06

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Solution

The third proportional to 424.19 and 928.06 is: 2,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.19 : 928.06 = 928.06 : x
  2. Step 2: Convert to fraction form
    424.19/928.06 = 928.06/x
  3. Step 3: Cross multiply
    424.19x = 928.06 × 928.06
  4. Step 4: Simplify right side
    424.19x = 861,300.00
  5. Step 5: Solve for x
    x = 861,300.00/424.19
  6. Step 6: Final answer
    x = 2,030.47

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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.