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Finding the Third Proportional to 430.88 and 677.25

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Solution

The third proportional to 430.88 and 677.25 is: 1,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.88 : 677.25 = 677.25 : x
  2. Step 2: Convert to fraction form
    430.88/677.25 = 677.25/x
  3. Step 3: Cross multiply
    430.88x = 677.25 × 677.25
  4. Step 4: Simplify right side
    430.88x = 458,667.56
  5. Step 5: Solve for x
    x = 458,667.56/430.88
  6. Step 6: Final answer
    x = 1,064.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.