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Finding the Third Proportional to 576,409 and 920,828

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Solution

The third proportional to 576,409 and 920,828 is: 1,471,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,409 : 920,828 = 920,828 : x
  2. Step 2: Convert to fraction form
    576,409/920,828 = 920,828/x
  3. Step 3: Cross multiply
    576,409x = 920,828 × 920,828
  4. Step 4: Simplify right side
    576,409x = 847,924,205,584
  5. Step 5: Solve for x
    x = 847,924,205,584/576,409
  6. Step 6: Final answer
    x = 1,471,046.09

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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.