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Finding the Third Proportional to 302,904 and 470,367

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Solution

The third proportional to 302,904 and 470,367 is: 730,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,904 : 470,367 = 470,367 : x
  2. Step 2: Convert to fraction form
    302,904/470,367 = 470,367/x
  3. Step 3: Cross multiply
    302,904x = 470,367 × 470,367
  4. Step 4: Simplify right side
    302,904x = 221,245,114,689
  5. Step 5: Solve for x
    x = 221,245,114,689/302,904
  6. Step 6: Final answer
    x = 730,413.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.