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Finding the Third Proportional to 233,679 and 506,724

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Solution

The third proportional to 233,679 and 506,724 is: 1,098,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,679 : 506,724 = 506,724 : x
  2. Step 2: Convert to fraction form
    233,679/506,724 = 506,724/x
  3. Step 3: Cross multiply
    233,679x = 506,724 × 506,724
  4. Step 4: Simplify right side
    233,679x = 256,769,212,176
  5. Step 5: Solve for x
    x = 256,769,212,176/233,679
  6. Step 6: Final answer
    x = 1,098,811.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.