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Finding the Third Proportional to 302,476 and 654,200

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Solution

The third proportional to 302,476 and 654,200 is: 1,414,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,476 : 654,200 = 654,200 : x
  2. Step 2: Convert to fraction form
    302,476/654,200 = 654,200/x
  3. Step 3: Cross multiply
    302,476x = 654,200 × 654,200
  4. Step 4: Simplify right side
    302,476x = 427,977,640,000
  5. Step 5: Solve for x
    x = 427,977,640,000/302,476
  6. Step 6: Final answer
    x = 1,414,914.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.