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Finding the Third Proportional to 245,504 and 537,868

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Solution

The third proportional to 245,504 and 537,868 is: 1,178,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,504 : 537,868 = 537,868 : x
  2. Step 2: Convert to fraction form
    245,504/537,868 = 537,868/x
  3. Step 3: Cross multiply
    245,504x = 537,868 × 537,868
  4. Step 4: Simplify right side
    245,504x = 289,301,985,424
  5. Step 5: Solve for x
    x = 289,301,985,424/245,504
  6. Step 6: Final answer
    x = 1,178,400.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.