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Finding the Third Proportional to 287,828 and 610,732

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Solution

The third proportional to 287,828 and 610,732 is: 1,295,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,828 : 610,732 = 610,732 : x
  2. Step 2: Convert to fraction form
    287,828/610,732 = 610,732/x
  3. Step 3: Cross multiply
    287,828x = 610,732 × 610,732
  4. Step 4: Simplify right side
    287,828x = 372,993,575,824
  5. Step 5: Solve for x
    x = 372,993,575,824/287,828
  6. Step 6: Final answer
    x = 1,295,890.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.