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Finding the Third Proportional to 302,830.50 and 655,824

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Solution

The third proportional to 302,830.50 and 655,824 is: 1,420,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,830.50 : 655,824 = 655,824 : x
  2. Step 2: Convert to fraction form
    302,830.50/655,824 = 655,824/x
  3. Step 3: Cross multiply
    302,830.50x = 655,824 × 655,824
  4. Step 4: Simplify right side
    302,830.50x = 430,105,118,976
  5. Step 5: Solve for x
    x = 430,105,118,976/302,830.50
  6. Step 6: Final answer
    x = 1,420,283.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.