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Finding the Third Proportional to 262,465.31 and 562,231.13

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Solution

The third proportional to 262,465.31 and 562,231.13 is: 1,204,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,465.31 : 562,231.13 = 562,231.13 : x
  2. Step 2: Convert to fraction form
    262,465.31/562,231.13 = 562,231.13/x
  3. Step 3: Cross multiply
    262,465.31x = 562,231.13 × 562,231.13
  4. Step 4: Simplify right side
    262,465.31x = 316,103,837,918.77
  5. Step 5: Solve for x
    x = 316,103,837,918.77/262,465.31
  6. Step 6: Final answer
    x = 1,204,364.24

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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.