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Finding the Third Proportional to 535,632 and 734,468

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Solution

The third proportional to 535,632 and 734,468 is: 1,007,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,632 : 734,468 = 734,468 : x
  2. Step 2: Convert to fraction form
    535,632/734,468 = 734,468/x
  3. Step 3: Cross multiply
    535,632x = 734,468 × 734,468
  4. Step 4: Simplify right side
    535,632x = 539,443,243,024
  5. Step 5: Solve for x
    x = 539,443,243,024/535,632
  6. Step 6: Final answer
    x = 1,007,115.41

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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.