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Finding the Third Proportional to 302,892 and 470,317.50

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Solution

The third proportional to 302,892 and 470,317.50 is: 730,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,892 : 470,317.50 = 470,317.50 : x
  2. Step 2: Convert to fraction form
    302,892/470,317.50 = 470,317.50/x
  3. Step 3: Cross multiply
    302,892x = 470,317.50 × 470,317.50
  4. Step 4: Simplify right side
    302,892x = 221,198,550,806.25
  5. Step 5: Solve for x
    x = 221,198,550,806.25/302,892
  6. Step 6: Final answer
    x = 730,288.52

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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.