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Finding the Third Proportional to 186,031 and 407,533

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Solution

The third proportional to 186,031 and 407,533 is: 892,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,031 : 407,533 = 407,533 : x
  2. Step 2: Convert to fraction form
    186,031/407,533 = 407,533/x
  3. Step 3: Cross multiply
    186,031x = 407,533 × 407,533
  4. Step 4: Simplify right side
    186,031x = 166,083,146,089
  5. Step 5: Solve for x
    x = 166,083,146,089/186,031
  6. Step 6: Final answer
    x = 892,771.35

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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.