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Finding the Third Proportional to 508,128 and 759,696

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Solution

The third proportional to 508,128 and 759,696 is: 1,135,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,128 : 759,696 = 759,696 : x
  2. Step 2: Convert to fraction form
    508,128/759,696 = 759,696/x
  3. Step 3: Cross multiply
    508,128x = 759,696 × 759,696
  4. Step 4: Simplify right side
    508,128x = 577,138,012,416
  5. Step 5: Solve for x
    x = 577,138,012,416/508,128
  6. Step 6: Final answer
    x = 1,135,812.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.