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Finding the Third Proportional to 302,602.50 and 455,209.50

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Solution

The third proportional to 302,602.50 and 455,209.50 is: 684,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,602.50 : 455,209.50 = 455,209.50 : x
  2. Step 2: Convert to fraction form
    302,602.50/455,209.50 = 455,209.50/x
  3. Step 3: Cross multiply
    302,602.50x = 455,209.50 × 455,209.50
  4. Step 4: Simplify right side
    302,602.50x = 207,215,688,890.25
  5. Step 5: Solve for x
    x = 207,215,688,890.25/302,602.50
  6. Step 6: Final answer
    x = 684,778.51

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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.