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Finding the Third Proportional to 296,035 and 623,012

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Solution

The third proportional to 296,035 and 623,012 is: 1,311,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,035 : 623,012 = 623,012 : x
  2. Step 2: Convert to fraction form
    296,035/623,012 = 623,012/x
  3. Step 3: Cross multiply
    296,035x = 623,012 × 623,012
  4. Step 4: Simplify right side
    296,035x = 388,143,952,144
  5. Step 5: Solve for x
    x = 388,143,952,144/296,035
  6. Step 6: Final answer
    x = 1,311,142.10

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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.