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Finding the Third Proportional to 258,313 and 566,468

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Solution

The third proportional to 258,313 and 566,468 is: 1,242,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,313 : 566,468 = 566,468 : x
  2. Step 2: Convert to fraction form
    258,313/566,468 = 566,468/x
  3. Step 3: Cross multiply
    258,313x = 566,468 × 566,468
  4. Step 4: Simplify right side
    258,313x = 320,885,995,024
  5. Step 5: Solve for x
    x = 320,885,995,024/258,313
  6. Step 6: Final answer
    x = 1,242,237.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.