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Finding the Third Proportional to 299,563.88 and 651,615.75

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Solution

The third proportional to 299,563.88 and 651,615.75 is: 1,417,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,563.88 : 651,615.75 = 651,615.75 : x
  2. Step 2: Convert to fraction form
    299,563.88/651,615.75 = 651,615.75/x
  3. Step 3: Cross multiply
    299,563.88x = 651,615.75 × 651,615.75
  4. Step 4: Simplify right side
    299,563.88x = 424,603,085,648.06
  5. Step 5: Solve for x
    x = 424,603,085,648.06/299,563.88
  6. Step 6: Final answer
    x = 1,417,404.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.