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Finding the Third Proportional to 515,976 and 743,202

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Solution

The third proportional to 515,976 and 743,202 is: 1,070,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,976 : 743,202 = 743,202 : x
  2. Step 2: Convert to fraction form
    515,976/743,202 = 743,202/x
  3. Step 3: Cross multiply
    515,976x = 743,202 × 743,202
  4. Step 4: Simplify right side
    515,976x = 552,349,212,804
  5. Step 5: Solve for x
    x = 552,349,212,804/515,976
  6. Step 6: Final answer
    x = 1,070,494.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.