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Finding the Third Proportional to 347,189 and 761,082

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Solution

The third proportional to 347,189 and 761,082 is: 1,668,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,189 : 761,082 = 761,082 : x
  2. Step 2: Convert to fraction form
    347,189/761,082 = 761,082/x
  3. Step 3: Cross multiply
    347,189x = 761,082 × 761,082
  4. Step 4: Simplify right side
    347,189x = 579,245,810,724
  5. Step 5: Solve for x
    x = 579,245,810,724/347,189
  6. Step 6: Final answer
    x = 1,668,387.57

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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.