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Finding the Third Proportional to 438,060 and 950,480

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Solution

The third proportional to 438,060 and 950,480 is: 2,062,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,060 : 950,480 = 950,480 : x
  2. Step 2: Convert to fraction form
    438,060/950,480 = 950,480/x
  3. Step 3: Cross multiply
    438,060x = 950,480 × 950,480
  4. Step 4: Simplify right side
    438,060x = 903,412,230,400
  5. Step 5: Solve for x
    x = 903,412,230,400/438,060
  6. Step 6: Final answer
    x = 2,062,302.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.