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Finding the Third Proportional to 379,023 and 829,258

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Solution

The third proportional to 379,023 and 829,258 is: 1,814,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,023 : 829,258 = 829,258 : x
  2. Step 2: Convert to fraction form
    379,023/829,258 = 829,258/x
  3. Step 3: Cross multiply
    379,023x = 829,258 × 829,258
  4. Step 4: Simplify right side
    379,023x = 687,668,830,564
  5. Step 5: Solve for x
    x = 687,668,830,564/379,023
  6. Step 6: Final answer
    x = 1,814,319.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.