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Finding the Third Proportional to 531,376 and 800,952

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Solution

The third proportional to 531,376 and 800,952 is: 1,207,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,376 : 800,952 = 800,952 : x
  2. Step 2: Convert to fraction form
    531,376/800,952 = 800,952/x
  3. Step 3: Cross multiply
    531,376x = 800,952 × 800,952
  4. Step 4: Simplify right side
    531,376x = 641,524,106,304
  5. Step 5: Solve for x
    x = 641,524,106,304/531,376
  6. Step 6: Final answer
    x = 1,207,288.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.