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Finding the Third Proportional to 345,839.63 and 743,348.81

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Solution

The third proportional to 345,839.63 and 743,348.81 is: 1,597,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,839.63 : 743,348.81 = 743,348.81 : x
  2. Step 2: Convert to fraction form
    345,839.63/743,348.81 = 743,348.81/x
  3. Step 3: Cross multiply
    345,839.63x = 743,348.81 × 743,348.81
  4. Step 4: Simplify right side
    345,839.63x = 552,567,457,045.16
  5. Step 5: Solve for x
    x = 552,567,457,045.16/345,839.63
  6. Step 6: Final answer
    x = 1,597,756.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.