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Finding the Third Proportional to 302,596.50 and 439,706.25

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Solution

The third proportional to 302,596.50 and 439,706.25 is: 638,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,596.50 : 439,706.25 = 439,706.25 : x
  2. Step 2: Convert to fraction form
    302,596.50/439,706.25 = 439,706.25/x
  3. Step 3: Cross multiply
    302,596.50x = 439,706.25 × 439,706.25
  4. Step 4: Simplify right side
    302,596.50x = 193,341,586,289.06
  5. Step 5: Solve for x
    x = 193,341,586,289.06/302,596.50
  6. Step 6: Final answer
    x = 638,941.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.