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Finding the Third Proportional to 707.48 and 1,040.98

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Solution

The third proportional to 707.48 and 1,040.98 is: 1,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.48 : 1,040.98 = 1,040.98 : x
  2. Step 2: Convert to fraction form
    707.48/1,040.98 = 1,040.98/x
  3. Step 3: Cross multiply
    707.48x = 1,040.98 × 1,040.98
  4. Step 4: Simplify right side
    707.48x = 1,083,632.20
  5. Step 5: Solve for x
    x = 1,083,632.20/707.48
  6. Step 6: Final answer
    x = 1,531.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.