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Finding the Third Proportional to 433,422 and 575,258

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Solution

The third proportional to 433,422 and 575,258 is: 763,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,422 : 575,258 = 575,258 : x
  2. Step 2: Convert to fraction form
    433,422/575,258 = 575,258/x
  3. Step 3: Cross multiply
    433,422x = 575,258 × 575,258
  4. Step 4: Simplify right side
    433,422x = 330,921,766,564
  5. Step 5: Solve for x
    x = 330,921,766,564/433,422
  6. Step 6: Final answer
    x = 763,509.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.