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Finding the Third Proportional to 260,084 and 411,942

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Solution

The third proportional to 260,084 and 411,942 is: 652,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084 : 411,942 = 411,942 : x
  2. Step 2: Convert to fraction form
    260,084/411,942 = 411,942/x
  3. Step 3: Cross multiply
    260,084x = 411,942 × 411,942
  4. Step 4: Simplify right side
    260,084x = 169,696,211,364
  5. Step 5: Solve for x
    x = 169,696,211,364/260,084
  6. Step 6: Final answer
    x = 652,466.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.