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Finding the Third Proportional to 420,574 and 925,258

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Solution

The third proportional to 420,574 and 925,258 is: 2,035,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,574 : 925,258 = 925,258 : x
  2. Step 2: Convert to fraction form
    420,574/925,258 = 925,258/x
  3. Step 3: Cross multiply
    420,574x = 925,258 × 925,258
  4. Step 4: Simplify right side
    420,574x = 856,102,366,564
  5. Step 5: Solve for x
    x = 856,102,366,564/420,574
  6. Step 6: Final answer
    x = 2,035,557.04

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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.