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Finding the Third Proportional to 435,142.55 and 665,220.94

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Solution

The third proportional to 435,142.55 and 665,220.94 is: 1,016,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,142.55 : 665,220.94 = 665,220.94 : x
  2. Step 2: Convert to fraction form
    435,142.55/665,220.94 = 665,220.94/x
  3. Step 3: Cross multiply
    435,142.55x = 665,220.94 × 665,220.94
  4. Step 4: Simplify right side
    435,142.55x = 442,518,895,688.38
  5. Step 5: Solve for x
    x = 442,518,895,688.38/435,142.55
  6. Step 6: Final answer
    x = 1,016,951.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.