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Finding the Third Proportional to 296,696.25 and 637,632

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Solution

The third proportional to 296,696.25 and 637,632 is: 1,370,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,696.25 : 637,632 = 637,632 : x
  2. Step 2: Convert to fraction form
    296,696.25/637,632 = 637,632/x
  3. Step 3: Cross multiply
    296,696.25x = 637,632 × 637,632
  4. Step 4: Simplify right side
    296,696.25x = 406,574,567,424
  5. Step 5: Solve for x
    x = 406,574,567,424/296,696.25
  6. Step 6: Final answer
    x = 1,370,339.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.