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Finding the Third Proportional to 229,482 and 490,539.50

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Solution

The third proportional to 229,482 and 490,539.50 is: 1,048,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,482 : 490,539.50 = 490,539.50 : x
  2. Step 2: Convert to fraction form
    229,482/490,539.50 = 490,539.50/x
  3. Step 3: Cross multiply
    229,482x = 490,539.50 × 490,539.50
  4. Step 4: Simplify right side
    229,482x = 240,629,001,060.25
  5. Step 5: Solve for x
    x = 240,629,001,060.25/229,482
  6. Step 6: Final answer
    x = 1,048,574.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.