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Finding the Third Proportional to 718.50 and 841.69

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Solution

The third proportional to 718.50 and 841.69 is: 986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.50 : 841.69 = 841.69 : x
  2. Step 2: Convert to fraction form
    718.50/841.69 = 841.69/x
  3. Step 3: Cross multiply
    718.50x = 841.69 × 841.69
  4. Step 4: Simplify right side
    718.50x = 708,437.85
  5. Step 5: Solve for x
    x = 708,437.85/718.50
  6. Step 6: Final answer
    x = 986.00

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.