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Finding the Third Proportional to 464 and 580.50

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Solution

The third proportional to 464 and 580.50 is: 726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 580.50 = 580.50 : x
  2. Step 2: Convert to fraction form
    464/580.50 = 580.50/x
  3. Step 3: Cross multiply
    464x = 580.50 × 580.50
  4. Step 4: Simplify right side
    464x = 336,980.25
  5. Step 5: Solve for x
    x = 336,980.25/464
  6. Step 6: Final answer
    x = 726.25

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.