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Finding the Third Proportional to 285,424 and 627,347

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Solution

The third proportional to 285,424 and 627,347 is: 1,378,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,424 : 627,347 = 627,347 : x
  2. Step 2: Convert to fraction form
    285,424/627,347 = 627,347/x
  3. Step 3: Cross multiply
    285,424x = 627,347 × 627,347
  4. Step 4: Simplify right side
    285,424x = 393,564,258,409
  5. Step 5: Solve for x
    x = 393,564,258,409/285,424
  6. Step 6: Final answer
    x = 1,378,875.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.