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Finding the Third Proportional to 302,566.50 and 468,477

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Solution

The third proportional to 302,566.50 and 468,477 is: 725,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,566.50 : 468,477 = 468,477 : x
  2. Step 2: Convert to fraction form
    302,566.50/468,477 = 468,477/x
  3. Step 3: Cross multiply
    302,566.50x = 468,477 × 468,477
  4. Step 4: Simplify right side
    302,566.50x = 219,470,699,529
  5. Step 5: Solve for x
    x = 219,470,699,529/302,566.50
  6. Step 6: Final answer
    x = 725,363.51

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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.