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Finding the Third Proportional to 302,968.50 and 469,763.44

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Solution

The third proportional to 302,968.50 and 469,763.44 is: 728,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,968.50 : 469,763.44 = 469,763.44 : x
  2. Step 2: Convert to fraction form
    302,968.50/469,763.44 = 469,763.44/x
  3. Step 3: Cross multiply
    302,968.50x = 469,763.44 × 469,763.44
  4. Step 4: Simplify right side
    302,968.50x = 220,677,687,211.82
  5. Step 5: Solve for x
    x = 220,677,687,211.82/302,968.50
  6. Step 6: Final answer
    x = 728,384.92

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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.