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Finding the Third Proportional to 380,538 and 592,596

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Solution

The third proportional to 380,538 and 592,596 is: 922,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,538 : 592,596 = 592,596 : x
  2. Step 2: Convert to fraction form
    380,538/592,596 = 592,596/x
  3. Step 3: Cross multiply
    380,538x = 592,596 × 592,596
  4. Step 4: Simplify right side
    380,538x = 351,170,019,216
  5. Step 5: Solve for x
    x = 351,170,019,216/380,538
  6. Step 6: Final answer
    x = 922,825.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.