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Finding the Third Proportional to 427,921 and 662,252

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Solution

The third proportional to 427,921 and 662,252 is: 1,024,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,921 : 662,252 = 662,252 : x
  2. Step 2: Convert to fraction form
    427,921/662,252 = 662,252/x
  3. Step 3: Cross multiply
    427,921x = 662,252 × 662,252
  4. Step 4: Simplify right side
    427,921x = 438,577,711,504
  5. Step 5: Solve for x
    x = 438,577,711,504/427,921
  6. Step 6: Final answer
    x = 1,024,903.46

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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.