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Finding the Third Proportional to 219,246.75 and 473,465.25

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Solution

The third proportional to 219,246.75 and 473,465.25 is: 1,022,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,246.75 : 473,465.25 = 473,465.25 : x
  2. Step 2: Convert to fraction form
    219,246.75/473,465.25 = 473,465.25/x
  3. Step 3: Cross multiply
    219,246.75x = 473,465.25 × 473,465.25
  4. Step 4: Simplify right side
    219,246.75x = 224,169,342,957.56
  5. Step 5: Solve for x
    x = 224,169,342,957.56/219,246.75
  6. Step 6: Final answer
    x = 1,022,452.30

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Why These Related Problems?

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