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Finding the Third Proportional to 335,720 and 734,557

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Solution

The third proportional to 335,720 and 734,557 is: 1,607,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,720 : 734,557 = 734,557 : x
  2. Step 2: Convert to fraction form
    335,720/734,557 = 734,557/x
  3. Step 3: Cross multiply
    335,720x = 734,557 × 734,557
  4. Step 4: Simplify right side
    335,720x = 539,573,986,249
  5. Step 5: Solve for x
    x = 539,573,986,249/335,720
  6. Step 6: Final answer
    x = 1,607,214.30

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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.