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Finding the Third Proportional to 228,602 and 502,454

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Solution

The third proportional to 228,602 and 502,454 is: 1,104,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,602 : 502,454 = 502,454 : x
  2. Step 2: Convert to fraction form
    228,602/502,454 = 502,454/x
  3. Step 3: Cross multiply
    228,602x = 502,454 × 502,454
  4. Step 4: Simplify right side
    228,602x = 252,460,022,116
  5. Step 5: Solve for x
    x = 252,460,022,116/228,602
  6. Step 6: Final answer
    x = 1,104,364.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.