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Finding the Third Proportional to 210,551.63 and 456,571.69

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Solution

The third proportional to 210,551.63 and 456,571.69 is: 990,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,551.63 : 456,571.69 = 456,571.69 : x
  2. Step 2: Convert to fraction form
    210,551.63/456,571.69 = 456,571.69/x
  3. Step 3: Cross multiply
    210,551.63x = 456,571.69 × 456,571.69
  4. Step 4: Simplify right side
    210,551.63x = 208,457,705,826.60
  5. Step 5: Solve for x
    x = 208,457,705,826.60/210,551.63
  6. Step 6: Final answer
    x = 990,055.08

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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.