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Finding the Third Proportional to 250,515 and 525,647

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Solution

The third proportional to 250,515 and 525,647 is: 1,102,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,515 : 525,647 = 525,647 : x
  2. Step 2: Convert to fraction form
    250,515/525,647 = 525,647/x
  3. Step 3: Cross multiply
    250,515x = 525,647 × 525,647
  4. Step 4: Simplify right side
    250,515x = 276,304,768,609
  5. Step 5: Solve for x
    x = 276,304,768,609/250,515
  6. Step 6: Final answer
    x = 1,102,947.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.