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Finding the Third Proportional to 385,348 and 511,446

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Solution

The third proportional to 385,348 and 511,446 is: 678,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,348 : 511,446 = 511,446 : x
  2. Step 2: Convert to fraction form
    385,348/511,446 = 511,446/x
  3. Step 3: Cross multiply
    385,348x = 511,446 × 511,446
  4. Step 4: Simplify right side
    385,348x = 261,577,010,916
  5. Step 5: Solve for x
    x = 261,577,010,916/385,348
  6. Step 6: Final answer
    x = 678,807.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.