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Finding the Third Proportional to 243,004 and 529,622

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Solution

The third proportional to 243,004 and 529,622 is: 1,154,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,004 : 529,622 = 529,622 : x
  2. Step 2: Convert to fraction form
    243,004/529,622 = 529,622/x
  3. Step 3: Cross multiply
    243,004x = 529,622 × 529,622
  4. Step 4: Simplify right side
    243,004x = 280,499,462,884
  5. Step 5: Solve for x
    x = 280,499,462,884/243,004
  6. Step 6: Final answer
    x = 1,154,299.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.