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Finding the Third Proportional to 353,964 and 764,232

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Solution

The third proportional to 353,964 and 764,232 is: 1,650,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,964 : 764,232 = 764,232 : x
  2. Step 2: Convert to fraction form
    353,964/764,232 = 764,232/x
  3. Step 3: Cross multiply
    353,964x = 764,232 × 764,232
  4. Step 4: Simplify right side
    353,964x = 584,050,549,824
  5. Step 5: Solve for x
    x = 584,050,549,824/353,964
  6. Step 6: Final answer
    x = 1,650,028.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.