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Finding the Third Proportional to 464,564 and 654,228

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Solution

The third proportional to 464,564 and 654,228 is: 921,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,564 : 654,228 = 654,228 : x
  2. Step 2: Convert to fraction form
    464,564/654,228 = 654,228/x
  3. Step 3: Cross multiply
    464,564x = 654,228 × 654,228
  4. Step 4: Simplify right side
    464,564x = 428,014,275,984
  5. Step 5: Solve for x
    x = 428,014,275,984/464,564
  6. Step 6: Final answer
    x = 921,324.67

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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.