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Finding the Third Proportional to 342,144 and 499,824

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Solution

The third proportional to 342,144 and 499,824 is: 730,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,144 : 499,824 = 499,824 : x
  2. Step 2: Convert to fraction form
    342,144/499,824 = 499,824/x
  3. Step 3: Cross multiply
    342,144x = 499,824 × 499,824
  4. Step 4: Simplify right side
    342,144x = 249,824,030,976
  5. Step 5: Solve for x
    x = 249,824,030,976/342,144
  6. Step 6: Final answer
    x = 730,172.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.