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Finding the Third Proportional to 340,742 and 747,094

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Solution

The third proportional to 340,742 and 747,094 is: 1,638,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,742 : 747,094 = 747,094 : x
  2. Step 2: Convert to fraction form
    340,742/747,094 = 747,094/x
  3. Step 3: Cross multiply
    340,742x = 747,094 × 747,094
  4. Step 4: Simplify right side
    340,742x = 558,149,444,836
  5. Step 5: Solve for x
    x = 558,149,444,836/340,742
  6. Step 6: Final answer
    x = 1,638,041.23

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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.