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Finding the Third Proportional to 254,289 and 373,656

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Solution

The third proportional to 254,289 and 373,656 is: 549,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,289 : 373,656 = 373,656 : x
  2. Step 2: Convert to fraction form
    254,289/373,656 = 373,656/x
  3. Step 3: Cross multiply
    254,289x = 373,656 × 373,656
  4. Step 4: Simplify right side
    254,289x = 139,618,806,336
  5. Step 5: Solve for x
    x = 139,618,806,336/254,289
  6. Step 6: Final answer
    x = 549,055.63

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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.