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Finding the Third Proportional to 186,714 and 409,712

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Solution

The third proportional to 186,714 and 409,712 is: 899,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,714 : 409,712 = 409,712 : x
  2. Step 2: Convert to fraction form
    186,714/409,712 = 409,712/x
  3. Step 3: Cross multiply
    186,714x = 409,712 × 409,712
  4. Step 4: Simplify right side
    186,714x = 167,863,922,944
  5. Step 5: Solve for x
    x = 167,863,922,944/186,714
  6. Step 6: Final answer
    x = 899,043.04

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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.