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Finding the Third Proportional to 719.30 and 1,574.02

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Solution

The third proportional to 719.30 and 1,574.02 is: 3,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.30 : 1,574.02 = 1,574.02 : x
  2. Step 2: Convert to fraction form
    719.30/1,574.02 = 1,574.02/x
  3. Step 3: Cross multiply
    719.30x = 1,574.02 × 1,574.02
  4. Step 4: Simplify right side
    719.30x = 2,477,525.19
  5. Step 5: Solve for x
    x = 2,477,525.19/719.30
  6. Step 6: Final answer
    x = 3,444.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.