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Finding the Third Proportional to 413,322.75 and 585,011.81

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Solution

The third proportional to 413,322.75 and 585,011.81 is: 828,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,322.75 : 585,011.81 = 585,011.81 : x
  2. Step 2: Convert to fraction form
    413,322.75/585,011.81 = 585,011.81/x
  3. Step 3: Cross multiply
    413,322.75x = 585,011.81 × 585,011.81
  4. Step 4: Simplify right side
    413,322.75x = 342,238,820,764.54
  5. Step 5: Solve for x
    x = 342,238,820,764.54/413,322.75
  6. Step 6: Final answer
    x = 828,018.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.