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Finding the Third Proportional to 262,567.75 and 562,496.75

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Solution

The third proportional to 262,567.75 and 562,496.75 is: 1,205,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,567.75 : 562,496.75 = 562,496.75 : x
  2. Step 2: Convert to fraction form
    262,567.75/562,496.75 = 562,496.75/x
  3. Step 3: Cross multiply
    262,567.75x = 562,496.75 × 562,496.75
  4. Step 4: Simplify right side
    262,567.75x = 316,402,593,760.56
  5. Step 5: Solve for x
    x = 316,402,593,760.56/262,567.75
  6. Step 6: Final answer
    x = 1,205,032.20

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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.