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Finding the Third Proportional to 225,654 and 495,592.50

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Solution

The third proportional to 225,654 and 495,592.50 is: 1,088,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,654 : 495,592.50 = 495,592.50 : x
  2. Step 2: Convert to fraction form
    225,654/495,592.50 = 495,592.50/x
  3. Step 3: Cross multiply
    225,654x = 495,592.50 × 495,592.50
  4. Step 4: Simplify right side
    225,654x = 245,611,926,056.25
  5. Step 5: Solve for x
    x = 245,611,926,056.25/225,654
  6. Step 6: Final answer
    x = 1,088,444.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.