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Finding the Third Proportional to 272,423.88 and 593,893.90

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Solution

The third proportional to 272,423.88 and 593,893.90 is: 1,294,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,423.88 : 593,893.90 = 593,893.90 : x
  2. Step 2: Convert to fraction form
    272,423.88/593,893.90 = 593,893.90/x
  3. Step 3: Cross multiply
    272,423.88x = 593,893.90 × 593,893.90
  4. Step 4: Simplify right side
    272,423.88x = 352,709,962,601.29
  5. Step 5: Solve for x
    x = 352,709,962,601.29/272,423.88
  6. Step 6: Final answer
    x = 1,294,710.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.