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Finding the Third Proportional to 230,403 and 472,284

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Solution

The third proportional to 230,403 and 472,284 is: 968,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,403 : 472,284 = 472,284 : x
  2. Step 2: Convert to fraction form
    230,403/472,284 = 472,284/x
  3. Step 3: Cross multiply
    230,403x = 472,284 × 472,284
  4. Step 4: Simplify right side
    230,403x = 223,052,176,656
  5. Step 5: Solve for x
    x = 223,052,176,656/230,403
  6. Step 6: Final answer
    x = 968,095.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.