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Finding the Third Proportional to 261,608 and 546,904

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Solution

The third proportional to 261,608 and 546,904 is: 1,143,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,608 : 546,904 = 546,904 : x
  2. Step 2: Convert to fraction form
    261,608/546,904 = 546,904/x
  3. Step 3: Cross multiply
    261,608x = 546,904 × 546,904
  4. Step 4: Simplify right side
    261,608x = 299,103,985,216
  5. Step 5: Solve for x
    x = 299,103,985,216/261,608
  6. Step 6: Final answer
    x = 1,143,328.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.