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Finding the Third Proportional to 223,146 and 490,518

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Solution

The third proportional to 223,146 and 490,518 is: 1,078,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,146 : 490,518 = 490,518 : x
  2. Step 2: Convert to fraction form
    223,146/490,518 = 490,518/x
  3. Step 3: Cross multiply
    223,146x = 490,518 × 490,518
  4. Step 4: Simplify right side
    223,146x = 240,607,908,324
  5. Step 5: Solve for x
    x = 240,607,908,324/223,146
  6. Step 6: Final answer
    x = 1,078,253.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.