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Finding the Third Proportional to 262,516 and 562,376

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Solution

The third proportional to 262,516 and 562,376 is: 1,204,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,516 : 562,376 = 562,376 : x
  2. Step 2: Convert to fraction form
    262,516/562,376 = 562,376/x
  3. Step 3: Cross multiply
    262,516x = 562,376 × 562,376
  4. Step 4: Simplify right side
    262,516x = 316,266,765,376
  5. Step 5: Solve for x
    x = 316,266,765,376/262,516
  6. Step 6: Final answer
    x = 1,204,752.34

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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.