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Finding the Third Proportional to 223,140 and 490,506

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Solution

The third proportional to 223,140 and 490,506 is: 1,078,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,140 : 490,506 = 490,506 : x
  2. Step 2: Convert to fraction form
    223,140/490,506 = 490,506/x
  3. Step 3: Cross multiply
    223,140x = 490,506 × 490,506
  4. Step 4: Simplify right side
    223,140x = 240,596,136,036
  5. Step 5: Solve for x
    x = 240,596,136,036/223,140
  6. Step 6: Final answer
    x = 1,078,229.52

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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.