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Finding the Third Proportional to 186,684 and 409,658

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Solution

The third proportional to 186,684 and 409,658 is: 898,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,684 : 409,658 = 409,658 : x
  2. Step 2: Convert to fraction form
    186,684/409,658 = 409,658/x
  3. Step 3: Cross multiply
    186,684x = 409,658 × 409,658
  4. Step 4: Simplify right side
    186,684x = 167,819,676,964
  5. Step 5: Solve for x
    x = 167,819,676,964/186,684
  6. Step 6: Final answer
    x = 898,950.51

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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.