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Finding the Third Proportional to 382,741 and 563,038

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Solution

The third proportional to 382,741 and 563,038 is: 828,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,741 : 563,038 = 563,038 : x
  2. Step 2: Convert to fraction form
    382,741/563,038 = 563,038/x
  3. Step 3: Cross multiply
    382,741x = 563,038 × 563,038
  4. Step 4: Simplify right side
    382,741x = 317,011,789,444
  5. Step 5: Solve for x
    x = 317,011,789,444/382,741
  6. Step 6: Final answer
    x = 828,267.13

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