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Finding the Third Proportional to 257,336 and 567,028

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Solution

The third proportional to 257,336 and 567,028 is: 1,249,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,336 : 567,028 = 567,028 : x
  2. Step 2: Convert to fraction form
    257,336/567,028 = 567,028/x
  3. Step 3: Cross multiply
    257,336x = 567,028 × 567,028
  4. Step 4: Simplify right side
    257,336x = 321,520,752,784
  5. Step 5: Solve for x
    x = 321,520,752,784/257,336
  6. Step 6: Final answer
    x = 1,249,420.03

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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.