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Finding the Third Proportional to 430.50 and 708.75

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Solution

The third proportional to 430.50 and 708.75 is: 1,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.50 : 708.75 = 708.75 : x
  2. Step 2: Convert to fraction form
    430.50/708.75 = 708.75/x
  3. Step 3: Cross multiply
    430.50x = 708.75 × 708.75
  4. Step 4: Simplify right side
    430.50x = 502,326.56
  5. Step 5: Solve for x
    x = 502,326.56/430.50
  6. Step 6: Final answer
    x = 1,166.84

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.