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Finding the Third Proportional to 262,134.56 and 567,113.06

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Solution

The third proportional to 262,134.56 and 567,113.06 is: 1,226,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,134.56 : 567,113.06 = 567,113.06 : x
  2. Step 2: Convert to fraction form
    262,134.56/567,113.06 = 567,113.06/x
  3. Step 3: Cross multiply
    262,134.56x = 567,113.06 × 567,113.06
  4. Step 4: Simplify right side
    262,134.56x = 321,617,225,658.13
  5. Step 5: Solve for x
    x = 321,617,225,658.13/262,134.56
  6. Step 6: Final answer
    x = 1,226,916.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.