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Finding the Third Proportional to 228,322.50 and 493,231.50

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Solution

The third proportional to 228,322.50 and 493,231.50 is: 1,065,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,322.50 : 493,231.50 = 493,231.50 : x
  2. Step 2: Convert to fraction form
    228,322.50/493,231.50 = 493,231.50/x
  3. Step 3: Cross multiply
    228,322.50x = 493,231.50 × 493,231.50
  4. Step 4: Simplify right side
    228,322.50x = 243,277,312,592.25
  5. Step 5: Solve for x
    x = 243,277,312,592.25/228,322.50
  6. Step 6: Final answer
    x = 1,065,498.64

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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.