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Finding the Third Proportional to 433,515 and 575,374.50

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Solution

The third proportional to 433,515 and 575,374.50 is: 763,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,515 : 575,374.50 = 575,374.50 : x
  2. Step 2: Convert to fraction form
    433,515/575,374.50 = 575,374.50/x
  3. Step 3: Cross multiply
    433,515x = 575,374.50 × 575,374.50
  4. Step 4: Simplify right side
    433,515x = 331,055,815,250.25
  5. Step 5: Solve for x
    x = 331,055,815,250.25/433,515
  6. Step 6: Final answer
    x = 763,654.81

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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.