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Finding the Third Proportional to 302,604 and 455,212

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Solution

The third proportional to 302,604 and 455,212 is: 684,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,604 : 455,212 = 455,212 : x
  2. Step 2: Convert to fraction form
    302,604/455,212 = 455,212/x
  3. Step 3: Cross multiply
    302,604x = 455,212 × 455,212
  4. Step 4: Simplify right side
    302,604x = 207,217,964,944
  5. Step 5: Solve for x
    x = 207,217,964,944/302,604
  6. Step 6: Final answer
    x = 684,782.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.