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Finding the Third Proportional to 287,846 and 450,525

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Solution

The third proportional to 287,846 and 450,525 is: 705,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,846 : 450,525 = 450,525 : x
  2. Step 2: Convert to fraction form
    287,846/450,525 = 450,525/x
  3. Step 3: Cross multiply
    287,846x = 450,525 × 450,525
  4. Step 4: Simplify right side
    287,846x = 202,972,775,625
  5. Step 5: Solve for x
    x = 202,972,775,625/287,846
  6. Step 6: Final answer
    x = 705,143.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.