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Finding the Third Proportional to 460,737 and 958,258

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Solution

The third proportional to 460,737 and 958,258 is: 1,993,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,737 : 958,258 = 958,258 : x
  2. Step 2: Convert to fraction form
    460,737/958,258 = 958,258/x
  3. Step 3: Cross multiply
    460,737x = 958,258 × 958,258
  4. Step 4: Simplify right side
    460,737x = 918,258,394,564
  5. Step 5: Solve for x
    x = 918,258,394,564/460,737
  6. Step 6: Final answer
    x = 1,993,020.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.