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Finding the Third Proportional to 455,323.50 and 668,222.50

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Solution

The third proportional to 455,323.50 and 668,222.50 is: 980,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,323.50 : 668,222.50 = 668,222.50 : x
  2. Step 2: Convert to fraction form
    455,323.50/668,222.50 = 668,222.50/x
  3. Step 3: Cross multiply
    455,323.50x = 668,222.50 × 668,222.50
  4. Step 4: Simplify right side
    455,323.50x = 446,521,309,506.25
  5. Step 5: Solve for x
    x = 446,521,309,506.25/455,323.50
  6. Step 6: Final answer
    x = 980,668.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.