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Finding the Third Proportional to 302.06 and 653.48

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Solution

The third proportional to 302.06 and 653.48 is: 1,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.06 : 653.48 = 653.48 : x
  2. Step 2: Convert to fraction form
    302.06/653.48 = 653.48/x
  3. Step 3: Cross multiply
    302.06x = 653.48 × 653.48
  4. Step 4: Simplify right side
    302.06x = 427,041.83
  5. Step 5: Solve for x
    x = 427,041.83/302.06
  6. Step 6: Final answer
    x = 1,413.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.