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Finding the Third Proportional to 262,804 and 575,996

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Solution

The third proportional to 262,804 and 575,996 is: 1,262,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,804 : 575,996 = 575,996 : x
  2. Step 2: Convert to fraction form
    262,804/575,996 = 575,996/x
  3. Step 3: Cross multiply
    262,804x = 575,996 × 575,996
  4. Step 4: Simplify right side
    262,804x = 331,771,392,016
  5. Step 5: Solve for x
    x = 331,771,392,016/262,804
  6. Step 6: Final answer
    x = 1,262,429.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.