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Finding the Third Proportional to 430.88 and 483.75

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Solution

The third proportional to 430.88 and 483.75 is: 543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.88 : 483.75 = 483.75 : x
  2. Step 2: Convert to fraction form
    430.88/483.75 = 483.75/x
  3. Step 3: Cross multiply
    430.88x = 483.75 × 483.75
  4. Step 4: Simplify right side
    430.88x = 234,014.06
  5. Step 5: Solve for x
    x = 234,014.06/430.88
  6. Step 6: Final answer
    x = 543.11

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.