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Finding the Third Proportional to 438,050 and 950,458

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Solution

The third proportional to 438,050 and 950,458 is: 2,062,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,050 : 950,458 = 950,458 : x
  2. Step 2: Convert to fraction form
    438,050/950,458 = 950,458/x
  3. Step 3: Cross multiply
    438,050x = 950,458 × 950,458
  4. Step 4: Simplify right side
    438,050x = 903,370,409,764
  5. Step 5: Solve for x
    x = 903,370,409,764/438,050
  6. Step 6: Final answer
    x = 2,062,254.10

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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.