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Finding the Third Proportional to 272,151 and 577,242

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Solution

The third proportional to 272,151 and 577,242 is: 1,224,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,151 : 577,242 = 577,242 : x
  2. Step 2: Convert to fraction form
    272,151/577,242 = 577,242/x
  3. Step 3: Cross multiply
    272,151x = 577,242 × 577,242
  4. Step 4: Simplify right side
    272,151x = 333,208,326,564
  5. Step 5: Solve for x
    x = 333,208,326,564/272,151
  6. Step 6: Final answer
    x = 1,224,350.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.