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Finding the Third Proportional to 296,401 and 623,777

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Solution

The third proportional to 296,401 and 623,777 is: 1,312,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,401 : 623,777 = 623,777 : x
  2. Step 2: Convert to fraction form
    296,401/623,777 = 623,777/x
  3. Step 3: Cross multiply
    296,401x = 623,777 × 623,777
  4. Step 4: Simplify right side
    296,401x = 389,097,745,729
  5. Step 5: Solve for x
    x = 389,097,745,729/296,401
  6. Step 6: Final answer
    x = 1,312,741.00

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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.