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Finding the Third Proportional to 264,304 and 402,652

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Solution

The third proportional to 264,304 and 402,652 is: 613,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,304 : 402,652 = 402,652 : x
  2. Step 2: Convert to fraction form
    264,304/402,652 = 402,652/x
  3. Step 3: Cross multiply
    264,304x = 402,652 × 402,652
  4. Step 4: Simplify right side
    264,304x = 162,128,633,104
  5. Step 5: Solve for x
    x = 162,128,633,104/264,304
  6. Step 6: Final answer
    x = 613,417.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.