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Finding the Third Proportional to 283,925.81 and 576,194.63

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Solution

The third proportional to 283,925.81 and 576,194.63 is: 1,169,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,925.81 : 576,194.63 = 576,194.63 : x
  2. Step 2: Convert to fraction form
    283,925.81/576,194.63 = 576,194.63/x
  3. Step 3: Cross multiply
    283,925.81x = 576,194.63 × 576,194.63
  4. Step 4: Simplify right side
    283,925.81x = 332,000,245,878.89
  5. Step 5: Solve for x
    x = 332,000,245,878.89/283,925.81
  6. Step 6: Final answer
    x = 1,169,320.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.