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Finding the Third Proportional to 345,967.63 and 748,797.13

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Solution

The third proportional to 345,967.63 and 748,797.13 is: 1,620,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,967.63 : 748,797.13 = 748,797.13 : x
  2. Step 2: Convert to fraction form
    345,967.63/748,797.13 = 748,797.13/x
  3. Step 3: Cross multiply
    345,967.63x = 748,797.13 × 748,797.13
  4. Step 4: Simplify right side
    345,967.63x = 560,697,134,408.27
  5. Step 5: Solve for x
    x = 560,697,134,408.27/345,967.63
  6. Step 6: Final answer
    x = 1,620,663.59

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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.