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Finding the Third Proportional to 340,632 and 740,736

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Solution

The third proportional to 340,632 and 740,736 is: 1,610,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,632 : 740,736 = 740,736 : x
  2. Step 2: Convert to fraction form
    340,632/740,736 = 740,736/x
  3. Step 3: Cross multiply
    340,632x = 740,736 × 740,736
  4. Step 4: Simplify right side
    340,632x = 548,689,821,696
  5. Step 5: Solve for x
    x = 548,689,821,696/340,632
  6. Step 6: Final answer
    x = 1,610,799.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.