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Finding the Third Proportional to 323,610 and 506,538

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Solution

The third proportional to 323,610 and 506,538 is: 792,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,610 : 506,538 = 506,538 : x
  2. Step 2: Convert to fraction form
    323,610/506,538 = 506,538/x
  3. Step 3: Cross multiply
    323,610x = 506,538 × 506,538
  4. Step 4: Simplify right side
    323,610x = 256,580,745,444
  5. Step 5: Solve for x
    x = 256,580,745,444/323,610
  6. Step 6: Final answer
    x = 792,870.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.