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Finding the Third Proportional to 281,937 and 431,836.50

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Solution

The third proportional to 281,937 and 431,836.50 is: 661,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,937 : 431,836.50 = 431,836.50 : x
  2. Step 2: Convert to fraction form
    281,937/431,836.50 = 431,836.50/x
  3. Step 3: Cross multiply
    281,937x = 431,836.50 × 431,836.50
  4. Step 4: Simplify right side
    281,937x = 186,482,762,732.25
  5. Step 5: Solve for x
    x = 186,482,762,732.25/281,937
  6. Step 6: Final answer
    x = 661,434.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.