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Finding the Third Proportional to 257,334 and 567,024

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Solution

The third proportional to 257,334 and 567,024 is: 1,249,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,334 : 567,024 = 567,024 : x
  2. Step 2: Convert to fraction form
    257,334/567,024 = 567,024/x
  3. Step 3: Cross multiply
    257,334x = 567,024 × 567,024
  4. Step 4: Simplify right side
    257,334x = 321,516,216,576
  5. Step 5: Solve for x
    x = 321,516,216,576/257,334
  6. Step 6: Final answer
    x = 1,249,412.11

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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.