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Finding the Third Proportional to 262,977.75 and 558,720

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Solution

The third proportional to 262,977.75 and 558,720 is: 1,187,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,977.75 : 558,720 = 558,720 : x
  2. Step 2: Convert to fraction form
    262,977.75/558,720 = 558,720/x
  3. Step 3: Cross multiply
    262,977.75x = 558,720 × 558,720
  4. Step 4: Simplify right side
    262,977.75x = 312,168,038,400
  5. Step 5: Solve for x
    x = 312,168,038,400/262,977.75
  6. Step 6: Final answer
    x = 1,187,051.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.