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Finding the Third Proportional to 224,901 and 483,148.50

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Solution

The third proportional to 224,901 and 483,148.50 is: 1,037,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,901 : 483,148.50 = 483,148.50 : x
  2. Step 2: Convert to fraction form
    224,901/483,148.50 = 483,148.50/x
  3. Step 3: Cross multiply
    224,901x = 483,148.50 × 483,148.50
  4. Step 4: Simplify right side
    224,901x = 233,432,473,052.25
  5. Step 5: Solve for x
    x = 233,432,473,052.25/224,901
  6. Step 6: Final answer
    x = 1,037,934.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.