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Finding the Third Proportional to 385,154 and 563,466

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Solution

The third proportional to 385,154 and 563,466 is: 824,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,154 : 563,466 = 563,466 : x
  2. Step 2: Convert to fraction form
    385,154/563,466 = 563,466/x
  3. Step 3: Cross multiply
    385,154x = 563,466 × 563,466
  4. Step 4: Simplify right side
    385,154x = 317,493,933,156
  5. Step 5: Solve for x
    x = 317,493,933,156/385,154
  6. Step 6: Final answer
    x = 824,329.83

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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.