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Finding the Third Proportional to 305,293.13 and 467,005.69

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Solution

The third proportional to 305,293.13 and 467,005.69 is: 714,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,293.13 : 467,005.69 = 467,005.69 : x
  2. Step 2: Convert to fraction form
    305,293.13/467,005.69 = 467,005.69/x
  3. Step 3: Cross multiply
    305,293.13x = 467,005.69 × 467,005.69
  4. Step 4: Simplify right side
    305,293.13x = 218,094,312,157.35
  5. Step 5: Solve for x
    x = 218,094,312,157.35/305,293.13
  6. Step 6: Final answer
    x = 714,376.76

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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.