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Finding the Third Proportional to 472,204 and 712,258

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Solution

The third proportional to 472,204 and 712,258 is: 1,074,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,204 : 712,258 = 712,258 : x
  2. Step 2: Convert to fraction form
    472,204/712,258 = 712,258/x
  3. Step 3: Cross multiply
    472,204x = 712,258 × 712,258
  4. Step 4: Simplify right side
    472,204x = 507,311,458,564
  5. Step 5: Solve for x
    x = 507,311,458,564/472,204
  6. Step 6: Final answer
    x = 1,074,348.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.