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Finding the Third Proportional to 658,684.50 and 1,417,233

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Solution

The third proportional to 658,684.50 and 1,417,233 is: 3,049,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,684.50 : 1,417,233 = 1,417,233 : x
  2. Step 2: Convert to fraction form
    658,684.50/1,417,233 = 1,417,233/x
  3. Step 3: Cross multiply
    658,684.50x = 1,417,233 × 1,417,233
  4. Step 4: Simplify right side
    658,684.50x = 2,008,549,376,289
  5. Step 5: Solve for x
    x = 2,008,549,376,289/658,684.50
  6. Step 6: Final answer
    x = 3,049,334.51

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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.