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Finding the Third Proportional to 211,317 and 432,352.50

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Solution

The third proportional to 211,317 and 432,352.50 is: 884,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,317 : 432,352.50 = 432,352.50 : x
  2. Step 2: Convert to fraction form
    211,317/432,352.50 = 432,352.50/x
  3. Step 3: Cross multiply
    211,317x = 432,352.50 × 432,352.50
  4. Step 4: Simplify right side
    211,317x = 186,928,684,256.25
  5. Step 5: Solve for x
    x = 186,928,684,256.25/211,317
  6. Step 6: Final answer
    x = 884,588.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.