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Finding the Third Proportional to 257,483 and 521,969.50

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Solution

The third proportional to 257,483 and 521,969.50 is: 1,058,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,483 : 521,969.50 = 521,969.50 : x
  2. Step 2: Convert to fraction form
    257,483/521,969.50 = 521,969.50/x
  3. Step 3: Cross multiply
    257,483x = 521,969.50 × 521,969.50
  4. Step 4: Simplify right side
    257,483x = 272,452,158,930.25
  5. Step 5: Solve for x
    x = 272,452,158,930.25/257,483
  6. Step 6: Final answer
    x = 1,058,136.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.