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Finding the Third Proportional to 245,644 and 509,752

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Solution

The third proportional to 245,644 and 509,752 is: 1,057,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,644 : 509,752 = 509,752 : x
  2. Step 2: Convert to fraction form
    245,644/509,752 = 509,752/x
  3. Step 3: Cross multiply
    245,644x = 509,752 × 509,752
  4. Step 4: Simplify right side
    245,644x = 259,847,101,504
  5. Step 5: Solve for x
    x = 259,847,101,504/245,644
  6. Step 6: Final answer
    x = 1,057,819.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.