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Finding the Third Proportional to 576,424 and 920,850

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Solution

The third proportional to 576,424 and 920,850 is: 1,471,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,424 : 920,850 = 920,850 : x
  2. Step 2: Convert to fraction form
    576,424/920,850 = 920,850/x
  3. Step 3: Cross multiply
    576,424x = 920,850 × 920,850
  4. Step 4: Simplify right side
    576,424x = 847,964,722,500
  5. Step 5: Solve for x
    x = 847,964,722,500/576,424
  6. Step 6: Final answer
    x = 1,471,078.10

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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.