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Finding the Third Proportional to 195,574.50 and 470,988

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Solution

The third proportional to 195,574.50 and 470,988 is: 1,134,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,574.50 : 470,988 = 470,988 : x
  2. Step 2: Convert to fraction form
    195,574.50/470,988 = 470,988/x
  3. Step 3: Cross multiply
    195,574.50x = 470,988 × 470,988
  4. Step 4: Simplify right side
    195,574.50x = 221,829,696,144
  5. Step 5: Solve for x
    x = 221,829,696,144/195,574.50
  6. Step 6: Final answer
    x = 1,134,246.52

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.