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Finding the Third Proportional to 210,480.50 and 465,258

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Solution

The third proportional to 210,480.50 and 465,258 is: 1,028,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,480.50 : 465,258 = 465,258 : x
  2. Step 2: Convert to fraction form
    210,480.50/465,258 = 465,258/x
  3. Step 3: Cross multiply
    210,480.50x = 465,258 × 465,258
  4. Step 4: Simplify right side
    210,480.50x = 216,465,006,564
  5. Step 5: Solve for x
    x = 216,465,006,564/210,480.50
  6. Step 6: Final answer
    x = 1,028,432.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.