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Finding the Third Proportional to 223,130 and 490,548

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Solution

The third proportional to 223,130 and 490,548 is: 1,078,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,130 : 490,548 = 490,548 : x
  2. Step 2: Convert to fraction form
    223,130/490,548 = 490,548/x
  3. Step 3: Cross multiply
    223,130x = 490,548 × 490,548
  4. Step 4: Simplify right side
    223,130x = 240,637,340,304
  5. Step 5: Solve for x
    x = 240,637,340,304/223,130
  6. Step 6: Final answer
    x = 1,078,462.51

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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.