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Finding the Third Proportional to 653.06 and 713.81

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Solution

The third proportional to 653.06 and 713.81 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 713.81 = 713.81 : x
  2. Step 2: Convert to fraction form
    653.06/713.81 = 713.81/x
  3. Step 3: Cross multiply
    653.06x = 713.81 × 713.81
  4. Step 4: Simplify right side
    653.06x = 509,528.29
  5. Step 5: Solve for x
    x = 509,528.29/653.06
  6. Step 6: Final answer
    x = 780.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.