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Finding the Third Proportional to 296,029 and 623,002

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Solution

The third proportional to 296,029 and 623,002 is: 1,311,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,029 : 623,002 = 623,002 : x
  2. Step 2: Convert to fraction form
    296,029/623,002 = 623,002/x
  3. Step 3: Cross multiply
    296,029x = 623,002 × 623,002
  4. Step 4: Simplify right side
    296,029x = 388,131,492,004
  5. Step 5: Solve for x
    x = 388,131,492,004/296,029
  6. Step 6: Final answer
    x = 1,311,126.59

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