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Finding the Third Proportional to 464,584 and 654,248

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Solution

The third proportional to 464,584 and 654,248 is: 921,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,584 : 654,248 = 654,248 : x
  2. Step 2: Convert to fraction form
    464,584/654,248 = 654,248/x
  3. Step 3: Cross multiply
    464,584x = 654,248 × 654,248
  4. Step 4: Simplify right side
    464,584x = 428,040,445,504
  5. Step 5: Solve for x
    x = 428,040,445,504/464,584
  6. Step 6: Final answer
    x = 921,341.34

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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.