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Finding the Third Proportional to 254,702 and 546,986

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Solution

The third proportional to 254,702 and 546,986 is: 1,174,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,702 : 546,986 = 546,986 : x
  2. Step 2: Convert to fraction form
    254,702/546,986 = 546,986/x
  3. Step 3: Cross multiply
    254,702x = 546,986 × 546,986
  4. Step 4: Simplify right side
    254,702x = 299,193,684,196
  5. Step 5: Solve for x
    x = 299,193,684,196/254,702
  6. Step 6: Final answer
    x = 1,174,681.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.