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Finding the Third Proportional to 262,753.24 and 574,577.30

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Solution

The third proportional to 262,753.24 and 574,577.30 is: 1,256,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,753.24 : 574,577.30 = 574,577.30 : x
  2. Step 2: Convert to fraction form
    262,753.24/574,577.30 = 574,577.30/x
  3. Step 3: Cross multiply
    262,753.24x = 574,577.30 × 574,577.30
  4. Step 4: Simplify right side
    262,753.24x = 330,139,070,084.18
  5. Step 5: Solve for x
    x = 330,139,070,084.18/262,753.24
  6. Step 6: Final answer
    x = 1,256,460.50

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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.