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Finding the Third Proportional to 316,261.13 and 450,739.69

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Solution

The third proportional to 316,261.13 and 450,739.69 is: 642,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,261.13 : 450,739.69 = 450,739.69 : x
  2. Step 2: Convert to fraction form
    316,261.13/450,739.69 = 450,739.69/x
  3. Step 3: Cross multiply
    316,261.13x = 450,739.69 × 450,739.69
  4. Step 4: Simplify right side
    316,261.13x = 203,166,265,887.60
  5. Step 5: Solve for x
    x = 203,166,265,887.60/316,261.13
  6. Step 6: Final answer
    x = 642,400.38

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.