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Finding the Third Proportional to 515,994 and 758,824

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Solution

The third proportional to 515,994 and 758,824 is: 1,115,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,994 : 758,824 = 758,824 : x
  2. Step 2: Convert to fraction form
    515,994/758,824 = 758,824/x
  3. Step 3: Cross multiply
    515,994x = 758,824 × 758,824
  4. Step 4: Simplify right side
    515,994x = 575,813,862,976
  5. Step 5: Solve for x
    x = 575,813,862,976/515,994
  6. Step 6: Final answer
    x = 1,115,931.32

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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.