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Finding the Third Proportional to 435,592 and 657,078

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Solution

The third proportional to 435,592 and 657,078 is: 991,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,592 : 657,078 = 657,078 : x
  2. Step 2: Convert to fraction form
    435,592/657,078 = 657,078/x
  3. Step 3: Cross multiply
    435,592x = 657,078 × 657,078
  4. Step 4: Simplify right side
    435,592x = 431,751,498,084
  5. Step 5: Solve for x
    x = 431,751,498,084/435,592
  6. Step 6: Final answer
    x = 991,183.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.