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Finding the Third Proportional to 353,090.25 and 497,445.75

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Solution

The third proportional to 353,090.25 and 497,445.75 is: 700,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,090.25 : 497,445.75 = 497,445.75 : x
  2. Step 2: Convert to fraction form
    353,090.25/497,445.75 = 497,445.75/x
  3. Step 3: Cross multiply
    353,090.25x = 497,445.75 × 497,445.75
  4. Step 4: Simplify right side
    353,090.25x = 247,452,274,193.06
  5. Step 5: Solve for x
    x = 247,452,274,193.06/353,090.25
  6. Step 6: Final answer
    x = 700,818.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.