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Finding the Third Proportional to 186,554 and 399,724

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Solution

The third proportional to 186,554 and 399,724 is: 856,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,554 : 399,724 = 399,724 : x
  2. Step 2: Convert to fraction form
    186,554/399,724 = 399,724/x
  3. Step 3: Cross multiply
    186,554x = 399,724 × 399,724
  4. Step 4: Simplify right side
    186,554x = 159,779,276,176
  5. Step 5: Solve for x
    x = 159,779,276,176/186,554
  6. Step 6: Final answer
    x = 856,477.35

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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.