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Finding the Third Proportional to 315,415.13 and 453,385.69

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Solution

The third proportional to 315,415.13 and 453,385.69 is: 651,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,415.13 : 453,385.69 = 453,385.69 : x
  2. Step 2: Convert to fraction form
    315,415.13/453,385.69 = 453,385.69/x
  3. Step 3: Cross multiply
    315,415.13x = 453,385.69 × 453,385.69
  4. Step 4: Simplify right side
    315,415.13x = 205,558,581,629.85
  5. Step 5: Solve for x
    x = 205,558,581,629.85/315,415.13
  6. Step 6: Final answer
    x = 651,708.07

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.