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Finding the Third Proportional to 427,960 and 662,300

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Solution

The third proportional to 427,960 and 662,300 is: 1,024,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,960 : 662,300 = 662,300 : x
  2. Step 2: Convert to fraction form
    427,960/662,300 = 662,300/x
  3. Step 3: Cross multiply
    427,960x = 662,300 × 662,300
  4. Step 4: Simplify right side
    427,960x = 438,641,290,000
  5. Step 5: Solve for x
    x = 438,641,290,000/427,960
  6. Step 6: Final answer
    x = 1,024,958.62

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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.