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Finding the Third Proportional to 302,838 and 470,235.75

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Solution

The third proportional to 302,838 and 470,235.75 is: 730,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,838 : 470,235.75 = 470,235.75 : x
  2. Step 2: Convert to fraction form
    302,838/470,235.75 = 470,235.75/x
  3. Step 3: Cross multiply
    302,838x = 470,235.75 × 470,235.75
  4. Step 4: Simplify right side
    302,838x = 221,121,660,578.06
  5. Step 5: Solve for x
    x = 221,121,660,578.06/302,838
  6. Step 6: Final answer
    x = 730,164.84

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