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Finding the Third Proportional to 302,616 and 455,230.50

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Solution

The third proportional to 302,616 and 455,230.50 is: 684,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,616 : 455,230.50 = 455,230.50 : x
  2. Step 2: Convert to fraction form
    302,616/455,230.50 = 455,230.50/x
  3. Step 3: Cross multiply
    302,616x = 455,230.50 × 455,230.50
  4. Step 4: Simplify right side
    302,616x = 207,234,808,130.25
  5. Step 5: Solve for x
    x = 207,234,808,130.25/302,616
  6. Step 6: Final answer
    x = 684,811.14

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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.