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Finding the Third Proportional to 464,584 and 654,258

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Solution

The third proportional to 464,584 and 654,258 is: 921,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,584 : 654,258 = 654,258 : x
  2. Step 2: Convert to fraction form
    464,584/654,258 = 654,258/x
  3. Step 3: Cross multiply
    464,584x = 654,258 × 654,258
  4. Step 4: Simplify right side
    464,584x = 428,053,530,564
  5. Step 5: Solve for x
    x = 428,053,530,564/464,584
  6. Step 6: Final answer
    x = 921,369.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.