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Finding the Third Proportional to 254,283 and 373,647

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Solution

The third proportional to 254,283 and 373,647 is: 549,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,283 : 373,647 = 373,647 : x
  2. Step 2: Convert to fraction form
    254,283/373,647 = 373,647/x
  3. Step 3: Cross multiply
    254,283x = 373,647 × 373,647
  4. Step 4: Simplify right side
    254,283x = 139,612,080,609
  5. Step 5: Solve for x
    x = 139,612,080,609/254,283
  6. Step 6: Final answer
    x = 549,042.13

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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.