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Finding the Third Proportional to 296.50 and 623.50

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Solution

The third proportional to 296.50 and 623.50 is: 1,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.50 : 623.50 = 623.50 : x
  2. Step 2: Convert to fraction form
    296.50/623.50 = 623.50/x
  3. Step 3: Cross multiply
    296.50x = 623.50 × 623.50
  4. Step 4: Simplify right side
    296.50x = 388,752.25
  5. Step 5: Solve for x
    x = 388,752.25/296.50
  6. Step 6: Final answer
    x = 1,311.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.