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Finding the Third Proportional to 254,496 and 372,984

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Solution

The third proportional to 254,496 and 372,984 is: 546,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,496 : 372,984 = 372,984 : x
  2. Step 2: Convert to fraction form
    254,496/372,984 = 372,984/x
  3. Step 3: Cross multiply
    254,496x = 372,984 × 372,984
  4. Step 4: Simplify right side
    254,496x = 139,117,064,256
  5. Step 5: Solve for x
    x = 139,117,064,256/254,496
  6. Step 6: Final answer
    x = 546,637.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.