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Finding the Third Proportional to 186,492 and 407,897

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Solution

The third proportional to 186,492 and 407,897 is: 892,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,492 : 407,897 = 407,897 : x
  2. Step 2: Convert to fraction form
    186,492/407,897 = 407,897/x
  3. Step 3: Cross multiply
    186,492x = 407,897 × 407,897
  4. Step 4: Simplify right side
    186,492x = 166,379,962,609
  5. Step 5: Solve for x
    x = 166,379,962,609/186,492
  6. Step 6: Final answer
    x = 892,156.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.