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Finding the Third Proportional to 262,312 and 562,856

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Solution

The third proportional to 262,312 and 562,856 is: 1,207,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,312 : 562,856 = 562,856 : x
  2. Step 2: Convert to fraction form
    262,312/562,856 = 562,856/x
  3. Step 3: Cross multiply
    262,312x = 562,856 × 562,856
  4. Step 4: Simplify right side
    262,312x = 316,806,876,736
  5. Step 5: Solve for x
    x = 316,806,876,736/262,312
  6. Step 6: Final answer
    x = 1,207,748.32

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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.