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Finding the Third Proportional to 186,532 and 399,657

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Solution

The third proportional to 186,532 and 399,657 is: 856,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,532 : 399,657 = 399,657 : x
  2. Step 2: Convert to fraction form
    186,532/399,657 = 399,657/x
  3. Step 3: Cross multiply
    186,532x = 399,657 × 399,657
  4. Step 4: Simplify right side
    186,532x = 159,725,717,649
  5. Step 5: Solve for x
    x = 159,725,717,649/186,532
  6. Step 6: Final answer
    x = 856,291.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.