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Finding the Third Proportional to 302,600.25 and 455,206.50

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Solution

The third proportional to 302,600.25 and 455,206.50 is: 684,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,600.25 : 455,206.50 = 455,206.50 : x
  2. Step 2: Convert to fraction form
    302,600.25/455,206.50 = 455,206.50/x
  3. Step 3: Cross multiply
    302,600.25x = 455,206.50 × 455,206.50
  4. Step 4: Simplify right side
    302,600.25x = 207,212,957,642.25
  5. Step 5: Solve for x
    x = 207,212,957,642.25/302,600.25
  6. Step 6: Final answer
    x = 684,774.58

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