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Finding the Third Proportional to 434,267.58 and 658,782.49

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Solution

The third proportional to 434,267.58 and 658,782.49 is: 999,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,267.58 : 658,782.49 = 658,782.49 : x
  2. Step 2: Convert to fraction form
    434,267.58/658,782.49 = 658,782.49/x
  3. Step 3: Cross multiply
    434,267.58x = 658,782.49 × 658,782.49
  4. Step 4: Simplify right side
    434,267.58x = 433,994,372,012.77
  5. Step 5: Solve for x
    x = 433,994,372,012.77/434,267.58
  6. Step 6: Final answer
    x = 999,370.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.