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Finding the Third Proportional to 262,120 and 562,472

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Solution

The third proportional to 262,120 and 562,472 is: 1,206,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,120 : 562,472 = 562,472 : x
  2. Step 2: Convert to fraction form
    262,120/562,472 = 562,472/x
  3. Step 3: Cross multiply
    262,120x = 562,472 × 562,472
  4. Step 4: Simplify right side
    262,120x = 316,374,750,784
  5. Step 5: Solve for x
    x = 316,374,750,784/262,120
  6. Step 6: Final answer
    x = 1,206,984.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.