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Finding the Third Proportional to 296,920 and 623,016

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Solution

The third proportional to 296,920 and 623,016 is: 1,307,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,920 : 623,016 = 623,016 : x
  2. Step 2: Convert to fraction form
    296,920/623,016 = 623,016/x
  3. Step 3: Cross multiply
    296,920x = 623,016 × 623,016
  4. Step 4: Simplify right side
    296,920x = 388,148,936,256
  5. Step 5: Solve for x
    x = 388,148,936,256/296,920
  6. Step 6: Final answer
    x = 1,307,250.90

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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.