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Finding the Third Proportional to 515,058 and 757,696

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Solution

The third proportional to 515,058 and 757,696 is: 1,114,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,058 : 757,696 = 757,696 : x
  2. Step 2: Convert to fraction form
    515,058/757,696 = 757,696/x
  3. Step 3: Cross multiply
    515,058x = 757,696 × 757,696
  4. Step 4: Simplify right side
    515,058x = 574,103,228,416
  5. Step 5: Solve for x
    x = 574,103,228,416/515,058
  6. Step 6: Final answer
    x = 1,114,638.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.