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Finding the Third Proportional to 262,152 and 562,536

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Solution

The third proportional to 262,152 and 562,536 is: 1,207,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,152 : 562,536 = 562,536 : x
  2. Step 2: Convert to fraction form
    262,152/562,536 = 562,536/x
  3. Step 3: Cross multiply
    262,152x = 562,536 × 562,536
  4. Step 4: Simplify right side
    262,152x = 316,446,751,296
  5. Step 5: Solve for x
    x = 316,446,751,296/262,152
  6. Step 6: Final answer
    x = 1,207,111.72

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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.