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Finding the Third Proportional to 262,882.50 and 393,886.50

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Solution

The third proportional to 262,882.50 and 393,886.50 is: 590,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,882.50 : 393,886.50 = 393,886.50 : x
  2. Step 2: Convert to fraction form
    262,882.50/393,886.50 = 393,886.50/x
  3. Step 3: Cross multiply
    262,882.50x = 393,886.50 × 393,886.50
  4. Step 4: Simplify right side
    262,882.50x = 155,146,574,882.25
  5. Step 5: Solve for x
    x = 155,146,574,882.25/262,882.50
  6. Step 6: Final answer
    x = 590,174.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.