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Finding the Third Proportional to 219,232.50 and 472,303.50

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Solution

The third proportional to 219,232.50 and 472,303.50 is: 1,017,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,232.50 : 472,303.50 = 472,303.50 : x
  2. Step 2: Convert to fraction form
    219,232.50/472,303.50 = 472,303.50/x
  3. Step 3: Cross multiply
    219,232.50x = 472,303.50 × 472,303.50
  4. Step 4: Simplify right side
    219,232.50x = 223,070,596,112.25
  5. Step 5: Solve for x
    x = 223,070,596,112.25/219,232.50
  6. Step 6: Final answer
    x = 1,017,506.97

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Why These Related Problems?

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