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Finding the Third Proportional to 397,671 and 602,298

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Solution

The third proportional to 397,671 and 602,298 is: 912,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,671 : 602,298 = 602,298 : x
  2. Step 2: Convert to fraction form
    397,671/602,298 = 602,298/x
  3. Step 3: Cross multiply
    397,671x = 602,298 × 602,298
  4. Step 4: Simplify right side
    397,671x = 362,762,880,804
  5. Step 5: Solve for x
    x = 362,762,880,804/397,671
  6. Step 6: Final answer
    x = 912,218.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.