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Finding the Third Proportional to 576,453.38 and 920,894.06

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Solution

The third proportional to 576,453.38 and 920,894.06 is: 1,471,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,453.38 : 920,894.06 = 920,894.06 : x
  2. Step 2: Convert to fraction form
    576,453.38/920,894.06 = 920,894.06/x
  3. Step 3: Cross multiply
    576,453.38x = 920,894.06 × 920,894.06
  4. Step 4: Simplify right side
    576,453.38x = 848,045,874,347.75
  5. Step 5: Solve for x
    x = 848,045,874,347.75/576,453.38
  6. Step 6: Final answer
    x = 1,471,143.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.