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Finding the Third Proportional to 287,085 and 628,602

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Solution

The third proportional to 287,085 and 628,602 is: 1,376,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,085 : 628,602 = 628,602 : x
  2. Step 2: Convert to fraction form
    287,085/628,602 = 628,602/x
  3. Step 3: Cross multiply
    287,085x = 628,602 × 628,602
  4. Step 4: Simplify right side
    287,085x = 395,140,474,404
  5. Step 5: Solve for x
    x = 395,140,474,404/287,085
  6. Step 6: Final answer
    x = 1,376,388.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.