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Finding the Third Proportional to 302,618.25 and 455,233.50

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Solution

The third proportional to 302,618.25 and 455,233.50 is: 684,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,618.25 : 455,233.50 = 455,233.50 : x
  2. Step 2: Convert to fraction form
    302,618.25/455,233.50 = 455,233.50/x
  3. Step 3: Cross multiply
    302,618.25x = 455,233.50 × 455,233.50
  4. Step 4: Simplify right side
    302,618.25x = 207,237,539,522.25
  5. Step 5: Solve for x
    x = 207,237,539,522.25/302,618.25
  6. Step 6: Final answer
    x = 684,815.07

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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.