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Finding the Third Proportional to 287,799 and 450,483

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Solution

The third proportional to 287,799 and 450,483 is: 705,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,799 : 450,483 = 450,483 : x
  2. Step 2: Convert to fraction form
    287,799/450,483 = 450,483/x
  3. Step 3: Cross multiply
    287,799x = 450,483 × 450,483
  4. Step 4: Simplify right side
    287,799x = 202,934,933,289
  5. Step 5: Solve for x
    x = 202,934,933,289/287,799
  6. Step 6: Final answer
    x = 705,127.31

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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.