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Finding the Third Proportional to 353,090 and 540,233

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Solution

The third proportional to 353,090 and 540,233 is: 826,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,090 : 540,233 = 540,233 : x
  2. Step 2: Convert to fraction form
    353,090/540,233 = 540,233/x
  3. Step 3: Cross multiply
    353,090x = 540,233 × 540,233
  4. Step 4: Simplify right side
    353,090x = 291,851,694,289
  5. Step 5: Solve for x
    x = 291,851,694,289/353,090
  6. Step 6: Final answer
    x = 826,564.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.