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Finding the Third Proportional to 402,574 and 950,422

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Solution

The third proportional to 402,574 and 950,422 is: 2,243,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,574 : 950,422 = 950,422 : x
  2. Step 2: Convert to fraction form
    402,574/950,422 = 950,422/x
  3. Step 3: Cross multiply
    402,574x = 950,422 × 950,422
  4. Step 4: Simplify right side
    402,574x = 903,301,978,084
  5. Step 5: Solve for x
    x = 903,301,978,084/402,574
  6. Step 6: Final answer
    x = 2,243,815.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.