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Finding the Third Proportional to 254,480 and 373,944

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Solution

The third proportional to 254,480 and 373,944 is: 549,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,480 : 373,944 = 373,944 : x
  2. Step 2: Convert to fraction form
    254,480/373,944 = 373,944/x
  3. Step 3: Cross multiply
    254,480x = 373,944 × 373,944
  4. Step 4: Simplify right side
    254,480x = 139,834,115,136
  5. Step 5: Solve for x
    x = 139,834,115,136/254,480
  6. Step 6: Final answer
    x = 549,489.61

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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.