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Finding the Third Proportional to 254,416 and 373,844

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Solution

The third proportional to 254,416 and 373,844 is: 549,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,416 : 373,844 = 373,844 : x
  2. Step 2: Convert to fraction form
    254,416/373,844 = 373,844/x
  3. Step 3: Cross multiply
    254,416x = 373,844 × 373,844
  4. Step 4: Simplify right side
    254,416x = 139,759,336,336
  5. Step 5: Solve for x
    x = 139,759,336,336/254,416
  6. Step 6: Final answer
    x = 549,333.91

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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.