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Finding the Third Proportional to 296,916 and 623,008

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Solution

The third proportional to 296,916 and 623,008 is: 1,307,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,916 : 623,008 = 623,008 : x
  2. Step 2: Convert to fraction form
    296,916/623,008 = 623,008/x
  3. Step 3: Cross multiply
    296,916x = 623,008 × 623,008
  4. Step 4: Simplify right side
    296,916x = 388,138,968,064
  5. Step 5: Solve for x
    x = 388,138,968,064/296,916
  6. Step 6: Final answer
    x = 1,307,234.94

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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.