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Finding the Third Proportional to 385,322.34 and 827,458.31

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Solution

The third proportional to 385,322.34 and 827,458.31 is: 1,776,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,322.34 : 827,458.31 = 827,458.31 : x
  2. Step 2: Convert to fraction form
    385,322.34/827,458.31 = 827,458.31/x
  3. Step 3: Cross multiply
    385,322.34x = 827,458.31 × 827,458.31
  4. Step 4: Simplify right side
    385,322.34x = 684,687,258,925.35
  5. Step 5: Solve for x
    x = 684,687,258,925.35/385,322.34
  6. Step 6: Final answer
    x = 1,776,920.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.