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Finding the Third Proportional to 186,868 and 438,704

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Solution

The third proportional to 186,868 and 438,704 is: 1,029,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,868 : 438,704 = 438,704 : x
  2. Step 2: Convert to fraction form
    186,868/438,704 = 438,704/x
  3. Step 3: Cross multiply
    186,868x = 438,704 × 438,704
  4. Step 4: Simplify right side
    186,868x = 192,461,199,616
  5. Step 5: Solve for x
    x = 192,461,199,616/186,868
  6. Step 6: Final answer
    x = 1,029,931.29

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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.