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Finding the Third Proportional to 186,463 and 402,410

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Solution

The third proportional to 186,463 and 402,410 is: 868,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,463 : 402,410 = 402,410 : x
  2. Step 2: Convert to fraction form
    186,463/402,410 = 402,410/x
  3. Step 3: Cross multiply
    186,463x = 402,410 × 402,410
  4. Step 4: Simplify right side
    186,463x = 161,933,808,100
  5. Step 5: Solve for x
    x = 161,933,808,100/186,463
  6. Step 6: Final answer
    x = 868,450.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.