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Finding the Third Proportional to 535,440 and 829,077

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Solution

The third proportional to 535,440 and 829,077 is: 1,283,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,440 : 829,077 = 829,077 : x
  2. Step 2: Convert to fraction form
    535,440/829,077 = 829,077/x
  3. Step 3: Cross multiply
    535,440x = 829,077 × 829,077
  4. Step 4: Simplify right side
    535,440x = 687,368,671,929
  5. Step 5: Solve for x
    x = 687,368,671,929/535,440
  6. Step 6: Final answer
    x = 1,283,745.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.