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Finding the Third Proportional to 302,620 and 455,237

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Solution

The third proportional to 302,620 and 455,237 is: 684,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,620 : 455,237 = 455,237 : x
  2. Step 2: Convert to fraction form
    302,620/455,237 = 455,237/x
  3. Step 3: Cross multiply
    302,620x = 455,237 × 455,237
  4. Step 4: Simplify right side
    302,620x = 207,240,726,169
  5. Step 5: Solve for x
    x = 207,240,726,169/302,620
  6. Step 6: Final answer
    x = 684,821.64

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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.