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Finding the Third Proportional to 383,481 and 563,395.50

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Solution

The third proportional to 383,481 and 563,395.50 is: 827,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,481 : 563,395.50 = 563,395.50 : x
  2. Step 2: Convert to fraction form
    383,481/563,395.50 = 563,395.50/x
  3. Step 3: Cross multiply
    383,481x = 563,395.50 × 563,395.50
  4. Step 4: Simplify right side
    383,481x = 317,414,489,420.25
  5. Step 5: Solve for x
    x = 317,414,489,420.25/383,481
  6. Step 6: Final answer
    x = 827,718.95

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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.