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Finding the Third Proportional to 268,696.50 and 586,515

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Solution

The third proportional to 268,696.50 and 586,515 is: 1,280,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,696.50 : 586,515 = 586,515 : x
  2. Step 2: Convert to fraction form
    268,696.50/586,515 = 586,515/x
  3. Step 3: Cross multiply
    268,696.50x = 586,515 × 586,515
  4. Step 4: Simplify right side
    268,696.50x = 343,999,845,225
  5. Step 5: Solve for x
    x = 343,999,845,225/268,696.50
  6. Step 6: Final answer
    x = 1,280,254.28

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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.