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Finding the Third Proportional to 255,546 and 555,696

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Solution

The third proportional to 255,546 and 555,696 is: 1,208,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,546 : 555,696 = 555,696 : x
  2. Step 2: Convert to fraction form
    255,546/555,696 = 555,696/x
  3. Step 3: Cross multiply
    255,546x = 555,696 × 555,696
  4. Step 4: Simplify right side
    255,546x = 308,798,044,416
  5. Step 5: Solve for x
    x = 308,798,044,416/255,546
  6. Step 6: Final answer
    x = 1,208,385.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.