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Finding the Third Proportional to 262,454 and 562,216

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Solution

The third proportional to 262,454 and 562,216 is: 1,204,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,454 : 562,216 = 562,216 : x
  2. Step 2: Convert to fraction form
    262,454/562,216 = 562,216/x
  3. Step 3: Cross multiply
    262,454x = 562,216 × 562,216
  4. Step 4: Simplify right side
    262,454x = 316,086,830,656
  5. Step 5: Solve for x
    x = 316,086,830,656/262,454
  6. Step 6: Final answer
    x = 1,204,351.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.