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Finding the Third Proportional to 210,549.75 and 456,568.50

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Solution

The third proportional to 210,549.75 and 456,568.50 is: 990,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,549.75 : 456,568.50 = 456,568.50 : x
  2. Step 2: Convert to fraction form
    210,549.75/456,568.50 = 456,568.50/x
  3. Step 3: Cross multiply
    210,549.75x = 456,568.50 × 456,568.50
  4. Step 4: Simplify right side
    210,549.75x = 208,454,795,192.25
  5. Step 5: Solve for x
    x = 208,454,795,192.25/210,549.75
  6. Step 6: Final answer
    x = 990,050.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.