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Finding the Third Proportional to 509.63 and 580.50

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Solution

The third proportional to 509.63 and 580.50 is: 661.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 580.50 = 580.50 : x
  2. Step 2: Convert to fraction form
    509.63/580.50 = 580.50/x
  3. Step 3: Cross multiply
    509.63x = 580.50 × 580.50
  4. Step 4: Simplify right side
    509.63x = 336,980.25
  5. Step 5: Solve for x
    x = 336,980.25/509.63
  6. Step 6: Final answer
    x = 661.23

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.