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Finding the Third Proportional to 285,223.50 and 438,448.50

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Solution

The third proportional to 285,223.50 and 438,448.50 is: 673,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,223.50 : 438,448.50 = 438,448.50 : x
  2. Step 2: Convert to fraction form
    285,223.50/438,448.50 = 438,448.50/x
  3. Step 3: Cross multiply
    285,223.50x = 438,448.50 × 438,448.50
  4. Step 4: Simplify right side
    285,223.50x = 192,237,087,152.25
  5. Step 5: Solve for x
    x = 192,237,087,152.25/285,223.50
  6. Step 6: Final answer
    x = 673,987.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.