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Finding the Third Proportional to 270,907.88 and 593,200.13

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Solution

The third proportional to 270,907.88 and 593,200.13 is: 1,298,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,907.88 : 593,200.13 = 593,200.13 : x
  2. Step 2: Convert to fraction form
    270,907.88/593,200.13 = 593,200.13/x
  3. Step 3: Cross multiply
    270,907.88x = 593,200.13 × 593,200.13
  4. Step 4: Simplify right side
    270,907.88x = 351,886,388,300.02
  5. Step 5: Solve for x
    x = 351,886,388,300.02/270,907.88
  6. Step 6: Final answer
    x = 1,298,915.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.