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Finding the Third Proportional to 574,884 and 882,414

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Solution

The third proportional to 574,884 and 882,414 is: 1,354,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,884 : 882,414 = 882,414 : x
  2. Step 2: Convert to fraction form
    574,884/882,414 = 882,414/x
  3. Step 3: Cross multiply
    574,884x = 882,414 × 882,414
  4. Step 4: Simplify right side
    574,884x = 778,654,467,396
  5. Step 5: Solve for x
    x = 778,654,467,396/574,884
  6. Step 6: Final answer
    x = 1,354,454.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.