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Finding the Third Proportional to 464,580 and 654,252

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Solution

The third proportional to 464,580 and 654,252 is: 921,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,580 : 654,252 = 654,252 : x
  2. Step 2: Convert to fraction form
    464,580/654,252 = 654,252/x
  3. Step 3: Cross multiply
    464,580x = 654,252 × 654,252
  4. Step 4: Simplify right side
    464,580x = 428,045,679,504
  5. Step 5: Solve for x
    x = 428,045,679,504/464,580
  6. Step 6: Final answer
    x = 921,360.54

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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.