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Finding the Third Proportional to 385,164 and 563,481

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Solution

The third proportional to 385,164 and 563,481 is: 824,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,164 : 563,481 = 563,481 : x
  2. Step 2: Convert to fraction form
    385,164/563,481 = 563,481/x
  3. Step 3: Cross multiply
    385,164x = 563,481 × 563,481
  4. Step 4: Simplify right side
    385,164x = 317,510,837,361
  5. Step 5: Solve for x
    x = 317,510,837,361/385,164
  6. Step 6: Final answer
    x = 824,352.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.