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Finding the Third Proportional to 281,660.63 and 432,330.75

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Solution

The third proportional to 281,660.63 and 432,330.75 is: 663,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,660.63 : 432,330.75 = 432,330.75 : x
  2. Step 2: Convert to fraction form
    281,660.63/432,330.75 = 432,330.75/x
  3. Step 3: Cross multiply
    281,660.63x = 432,330.75 × 432,330.75
  4. Step 4: Simplify right side
    281,660.63x = 186,909,877,395.56
  5. Step 5: Solve for x
    x = 186,909,877,395.56/281,660.63
  6. Step 6: Final answer
    x = 663,599.60

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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.