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Finding the Third Proportional to 335,718 and 734,553

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Solution

The third proportional to 335,718 and 734,553 is: 1,607,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,718 : 734,553 = 734,553 : x
  2. Step 2: Convert to fraction form
    335,718/734,553 = 734,553/x
  3. Step 3: Cross multiply
    335,718x = 734,553 × 734,553
  4. Step 4: Simplify right side
    335,718x = 539,568,109,809
  5. Step 5: Solve for x
    x = 539,568,109,809/335,718
  6. Step 6: Final answer
    x = 1,607,206.38

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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.