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Finding the Third Proportional to 465,462.56 and 711,731.81

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Solution

The third proportional to 465,462.56 and 711,731.81 is: 1,088,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,462.56 : 711,731.81 = 711,731.81 : x
  2. Step 2: Convert to fraction form
    465,462.56/711,731.81 = 711,731.81/x
  3. Step 3: Cross multiply
    465,462.56x = 711,731.81 × 711,731.81
  4. Step 4: Simplify right side
    465,462.56x = 506,562,172,924.54
  5. Step 5: Solve for x
    x = 506,562,172,924.54/465,462.56
  6. Step 6: Final answer
    x = 1,088,298.42

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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.