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Finding the Third Proportional to 268,696 and 586,513

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Solution

The third proportional to 268,696 and 586,513 is: 1,280,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,696 : 586,513 = 586,513 : x
  2. Step 2: Convert to fraction form
    268,696/586,513 = 586,513/x
  3. Step 3: Cross multiply
    268,696x = 586,513 × 586,513
  4. Step 4: Simplify right side
    268,696x = 343,997,499,169
  5. Step 5: Solve for x
    x = 343,997,499,169/268,696
  6. Step 6: Final answer
    x = 1,280,247.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.