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Finding the Third Proportional to 347,496.75 and 761,423.25

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Solution

The third proportional to 347,496.75 and 761,423.25 is: 1,668,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,496.75 : 761,423.25 = 761,423.25 : x
  2. Step 2: Convert to fraction form
    347,496.75/761,423.25 = 761,423.25/x
  3. Step 3: Cross multiply
    347,496.75x = 761,423.25 × 761,423.25
  4. Step 4: Simplify right side
    347,496.75x = 579,765,365,640.56
  5. Step 5: Solve for x
    x = 579,765,365,640.56/347,496.75
  6. Step 6: Final answer
    x = 1,668,405.15

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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.