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Finding the Third Proportional to 385,156 and 563,471

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Solution

The third proportional to 385,156 and 563,471 is: 824,340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,156 : 563,471 = 563,471 : x
  2. Step 2: Convert to fraction form
    385,156/563,471 = 563,471/x
  3. Step 3: Cross multiply
    385,156x = 563,471 × 563,471
  4. Step 4: Simplify right side
    385,156x = 317,499,567,841
  5. Step 5: Solve for x
    x = 317,499,567,841/385,156
  6. Step 6: Final answer
    x = 824,340.18

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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.