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Finding the Third Proportional to 243,045 and 529,668

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Solution

The third proportional to 243,045 and 529,668 is: 1,154,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,045 : 529,668 = 529,668 : x
  2. Step 2: Convert to fraction form
    243,045/529,668 = 529,668/x
  3. Step 3: Cross multiply
    243,045x = 529,668 × 529,668
  4. Step 4: Simplify right side
    243,045x = 280,548,190,224
  5. Step 5: Solve for x
    x = 280,548,190,224/243,045
  6. Step 6: Final answer
    x = 1,154,305.54

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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.