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Finding the Third Proportional to 219,253.50 and 473,478.75

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Solution

The third proportional to 219,253.50 and 473,478.75 is: 1,022,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,253.50 : 473,478.75 = 473,478.75 : x
  2. Step 2: Convert to fraction form
    219,253.50/473,478.75 = 473,478.75/x
  3. Step 3: Cross multiply
    219,253.50x = 473,478.75 × 473,478.75
  4. Step 4: Simplify right side
    219,253.50x = 224,182,126,701.56
  5. Step 5: Solve for x
    x = 224,182,126,701.56/219,253.50
  6. Step 6: Final answer
    x = 1,022,479.12

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