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Finding the Third Proportional to 688,560 and 1,491,466.50

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Solution

The third proportional to 688,560 and 1,491,466.50 is: 3,230,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,560 : 1,491,466.50 = 1,491,466.50 : x
  2. Step 2: Convert to fraction form
    688,560/1,491,466.50 = 1,491,466.50/x
  3. Step 3: Cross multiply
    688,560x = 1,491,466.50 × 1,491,466.50
  4. Step 4: Simplify right side
    688,560x = 2,224,472,320,622.25
  5. Step 5: Solve for x
    x = 2,224,472,320,622.25/688,560
  6. Step 6: Final answer
    x = 3,230,615.08

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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.