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Finding the Third Proportional to 240,450 and 514,254

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Solution

The third proportional to 240,450 and 514,254 is: 1,099,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,450 : 514,254 = 514,254 : x
  2. Step 2: Convert to fraction form
    240,450/514,254 = 514,254/x
  3. Step 3: Cross multiply
    240,450x = 514,254 × 514,254
  4. Step 4: Simplify right side
    240,450x = 264,457,176,516
  5. Step 5: Solve for x
    x = 264,457,176,516/240,450
  6. Step 6: Final answer
    x = 1,099,842.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.