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Finding the Third Proportional to 245,951 and 530,647

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Solution

The third proportional to 245,951 and 530,647 is: 1,144,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,951 : 530,647 = 530,647 : x
  2. Step 2: Convert to fraction form
    245,951/530,647 = 530,647/x
  3. Step 3: Cross multiply
    245,951x = 530,647 × 530,647
  4. Step 4: Simplify right side
    245,951x = 281,586,238,609
  5. Step 5: Solve for x
    x = 281,586,238,609/245,951
  6. Step 6: Final answer
    x = 1,144,887.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.