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Finding the Third Proportional to 535,644 and 734,486

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Solution

The third proportional to 535,644 and 734,486 is: 1,007,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,644 : 734,486 = 734,486 : x
  2. Step 2: Convert to fraction form
    535,644/734,486 = 734,486/x
  3. Step 3: Cross multiply
    535,644x = 734,486 × 734,486
  4. Step 4: Simplify right side
    535,644x = 539,469,684,196
  5. Step 5: Solve for x
    x = 539,469,684,196/535,644
  6. Step 6: Final answer
    x = 1,007,142.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.