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Finding the Third Proportional to 262,242 and 562,711.50

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Solution

The third proportional to 262,242 and 562,711.50 is: 1,207,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,242 : 562,711.50 = 562,711.50 : x
  2. Step 2: Convert to fraction form
    262,242/562,711.50 = 562,711.50/x
  3. Step 3: Cross multiply
    262,242x = 562,711.50 × 562,711.50
  4. Step 4: Simplify right side
    262,242x = 316,644,232,232.25
  5. Step 5: Solve for x
    x = 316,644,232,232.25/262,242
  6. Step 6: Final answer
    x = 1,207,450.49

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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.