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Finding the Third Proportional to 434,157.75 and 670,926.38

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Solution

The third proportional to 434,157.75 and 670,926.38 is: 1,036,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,157.75 : 670,926.38 = 670,926.38 : x
  2. Step 2: Convert to fraction form
    434,157.75/670,926.38 = 670,926.38/x
  3. Step 3: Cross multiply
    434,157.75x = 670,926.38 × 670,926.38
  4. Step 4: Simplify right side
    434,157.75x = 450,142,200,670.64
  5. Step 5: Solve for x
    x = 450,142,200,670.64/434,157.75
  6. Step 6: Final answer
    x = 1,036,817.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.