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Finding the Third Proportional to 403,532 and 565,538

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Solution

The third proportional to 403,532 and 565,538 is: 792,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,532 : 565,538 = 565,538 : x
  2. Step 2: Convert to fraction form
    403,532/565,538 = 565,538/x
  3. Step 3: Cross multiply
    403,532x = 565,538 × 565,538
  4. Step 4: Simplify right side
    403,532x = 319,833,229,444
  5. Step 5: Solve for x
    x = 319,833,229,444/403,532
  6. Step 6: Final answer
    x = 792,584.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.