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Finding the Third Proportional to 267,688.50 and 392,595.75

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Solution

The third proportional to 267,688.50 and 392,595.75 is: 575,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,688.50 : 392,595.75 = 392,595.75 : x
  2. Step 2: Convert to fraction form
    267,688.50/392,595.75 = 392,595.75/x
  3. Step 3: Cross multiply
    267,688.50x = 392,595.75 × 392,595.75
  4. Step 4: Simplify right side
    267,688.50x = 154,131,422,918.06
  5. Step 5: Solve for x
    x = 154,131,422,918.06/267,688.50
  6. Step 6: Final answer
    x = 575,786.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.