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Finding the Third Proportional to 186,712 and 409,706

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Solution

The third proportional to 186,712 and 409,706 is: 899,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,712 : 409,706 = 409,706 : x
  2. Step 2: Convert to fraction form
    186,712/409,706 = 409,706/x
  3. Step 3: Cross multiply
    186,712x = 409,706 × 409,706
  4. Step 4: Simplify right side
    186,712x = 167,859,006,436
  5. Step 5: Solve for x
    x = 167,859,006,436/186,712
  6. Step 6: Final answer
    x = 899,026.34

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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.