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Finding the Third Proportional to 576,458 and 920,901

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Solution

The third proportional to 576,458 and 920,901 is: 1,471,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,458 : 920,901 = 920,901 : x
  2. Step 2: Convert to fraction form
    576,458/920,901 = 920,901/x
  3. Step 3: Cross multiply
    576,458x = 920,901 × 920,901
  4. Step 4: Simplify right side
    576,458x = 848,058,651,801
  5. Step 5: Solve for x
    x = 848,058,651,801/576,458
  6. Step 6: Final answer
    x = 1,471,154.28

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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.