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Finding the Third Proportional to 430.50 and 577

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Solution

The third proportional to 430.50 and 577 is: 773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.50 : 577 = 577 : x
  2. Step 2: Convert to fraction form
    430.50/577 = 577/x
  3. Step 3: Cross multiply
    430.50x = 577 × 577
  4. Step 4: Simplify right side
    430.50x = 332,929
  5. Step 5: Solve for x
    x = 332,929/430.50
  6. Step 6: Final answer
    x = 773.35

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.