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Finding the Third Proportional to 228,541 and 492,202.50

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Solution

The third proportional to 228,541 and 492,202.50 is: 1,060,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,541 : 492,202.50 = 492,202.50 : x
  2. Step 2: Convert to fraction form
    228,541/492,202.50 = 492,202.50/x
  3. Step 3: Cross multiply
    228,541x = 492,202.50 × 492,202.50
  4. Step 4: Simplify right side
    228,541x = 242,263,301,006.25
  5. Step 5: Solve for x
    x = 242,263,301,006.25/228,541
  6. Step 6: Final answer
    x = 1,060,043.06

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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.