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Finding the Third Proportional to 434,751 and 668,326.50

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Solution

The third proportional to 434,751 and 668,326.50 is: 1,027,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,751 : 668,326.50 = 668,326.50 : x
  2. Step 2: Convert to fraction form
    434,751/668,326.50 = 668,326.50/x
  3. Step 3: Cross multiply
    434,751x = 668,326.50 × 668,326.50
  4. Step 4: Simplify right side
    434,751x = 446,660,310,602.25
  5. Step 5: Solve for x
    x = 446,660,310,602.25/434,751
  6. Step 6: Final answer
    x = 1,027,393.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.