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Finding the Third Proportional to 266,653.69 and 576,154.69

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Solution

The third proportional to 266,653.69 and 576,154.69 is: 1,244,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,653.69 : 576,154.69 = 576,154.69 : x
  2. Step 2: Convert to fraction form
    266,653.69/576,154.69 = 576,154.69/x
  3. Step 3: Cross multiply
    266,653.69x = 576,154.69 × 576,154.69
  4. Step 4: Simplify right side
    266,653.69x = 331,954,223,928.22
  5. Step 5: Solve for x
    x = 331,954,223,928.22/266,653.69
  6. Step 6: Final answer
    x = 1,244,888.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.