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Finding the Third Proportional to 285,785.81 and 417,950.25

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Solution

The third proportional to 285,785.81 and 417,950.25 is: 611,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,785.81 : 417,950.25 = 417,950.25 : x
  2. Step 2: Convert to fraction form
    285,785.81/417,950.25 = 417,950.25/x
  3. Step 3: Cross multiply
    285,785.81x = 417,950.25 × 417,950.25
  4. Step 4: Simplify right side
    285,785.81x = 174,682,411,475.06
  5. Step 5: Solve for x
    x = 174,682,411,475.06/285,785.81
  6. Step 6: Final answer
    x = 611,235.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.