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Finding the Third Proportional to 186,550 and 438,529

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Solution

The third proportional to 186,550 and 438,529 is: 1,030,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,550 : 438,529 = 438,529 : x
  2. Step 2: Convert to fraction form
    186,550/438,529 = 438,529/x
  3. Step 3: Cross multiply
    186,550x = 438,529 × 438,529
  4. Step 4: Simplify right side
    186,550x = 192,307,683,841
  5. Step 5: Solve for x
    x = 192,307,683,841/186,550
  6. Step 6: Final answer
    x = 1,030,864.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.