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Finding the Third Proportional to 241,848 and 562,155

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Solution

The third proportional to 241,848 and 562,155 is: 1,306,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,848 : 562,155 = 562,155 : x
  2. Step 2: Convert to fraction form
    241,848/562,155 = 562,155/x
  3. Step 3: Cross multiply
    241,848x = 562,155 × 562,155
  4. Step 4: Simplify right side
    241,848x = 316,018,244,025
  5. Step 5: Solve for x
    x = 316,018,244,025/241,848
  6. Step 6: Final answer
    x = 1,306,681.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.