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Finding the Third Proportional to 223,524 and 484,890

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Solution

The third proportional to 223,524 and 484,890 is: 1,051,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,524 : 484,890 = 484,890 : x
  2. Step 2: Convert to fraction form
    223,524/484,890 = 484,890/x
  3. Step 3: Cross multiply
    223,524x = 484,890 × 484,890
  4. Step 4: Simplify right side
    223,524x = 235,118,312,100
  5. Step 5: Solve for x
    x = 235,118,312,100/223,524
  6. Step 6: Final answer
    x = 1,051,870.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.