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Finding the Third Proportional to 243,512 and 374,502

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Solution

The third proportional to 243,512 and 374,502 is: 575,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,512 : 374,502 = 374,502 : x
  2. Step 2: Convert to fraction form
    243,512/374,502 = 374,502/x
  3. Step 3: Cross multiply
    243,512x = 374,502 × 374,502
  4. Step 4: Simplify right side
    243,512x = 140,251,748,004
  5. Step 5: Solve for x
    x = 140,251,748,004/243,512
  6. Step 6: Final answer
    x = 575,954.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.