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Finding the Third Proportional to 240,450 and 513,072

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Solution

The third proportional to 240,450 and 513,072 is: 1,094,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,450 : 513,072 = 513,072 : x
  2. Step 2: Convert to fraction form
    240,450/513,072 = 513,072/x
  3. Step 3: Cross multiply
    240,450x = 513,072 × 513,072
  4. Step 4: Simplify right side
    240,450x = 263,242,877,184
  5. Step 5: Solve for x
    x = 263,242,877,184/240,450
  6. Step 6: Final answer
    x = 1,094,792.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.