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Finding the Third Proportional to 211,088.94 and 430,784.13

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Solution

The third proportional to 211,088.94 and 430,784.13 is: 879,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,088.94 : 430,784.13 = 430,784.13 : x
  2. Step 2: Convert to fraction form
    211,088.94/430,784.13 = 430,784.13/x
  3. Step 3: Cross multiply
    211,088.94x = 430,784.13 × 430,784.13
  4. Step 4: Simplify right side
    211,088.94x = 185,574,962,352.02
  5. Step 5: Solve for x
    x = 185,574,962,352.02/211,088.94
  6. Step 6: Final answer
    x = 879,131.63

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.