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Finding the Third Proportional to 235,674.56 and 508,710.38

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Solution

The third proportional to 235,674.56 and 508,710.38 is: 1,098,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,674.56 : 508,710.38 = 508,710.38 : x
  2. Step 2: Convert to fraction form
    235,674.56/508,710.38 = 508,710.38/x
  3. Step 3: Cross multiply
    235,674.56x = 508,710.38 × 508,710.38
  4. Step 4: Simplify right side
    235,674.56x = 258,786,245,632.64
  5. Step 5: Solve for x
    x = 258,786,245,632.64/235,674.56
  6. Step 6: Final answer
    x = 1,098,066.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.