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Finding the Third Proportional to 383,106 and 563,538

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Solution

The third proportional to 383,106 and 563,538 is: 828,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,106 : 563,538 = 563,538 : x
  2. Step 2: Convert to fraction form
    383,106/563,538 = 563,538/x
  3. Step 3: Cross multiply
    383,106x = 563,538 × 563,538
  4. Step 4: Simplify right side
    383,106x = 317,575,077,444
  5. Step 5: Solve for x
    x = 317,575,077,444/383,106
  6. Step 6: Final answer
    x = 828,948.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.